scientific article

zbMath1134.47047MaRDI QIDQ3442332

Daya Ram Sahu, Donal O'Regan, Ravi P. Agarwal

Publication date: 18 May 2007

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An inertial viscosity algorithm for solving monotone variational inclusion and common fixed point problems of strict pseudocontractions ⋮ Convergence analysis of an iteration process for a class of generalized nonexpansive mappings with application to fractional differential equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common strongly attractive points of nonexpansive set-valued mappings and applications ⋮ Fourth-order trapezoid algorithm with four iterative schemes for nonlinear integral equations ⋮ Some stability and strong convergence results for the algorithm with perturbations for a T-Ciric quasicontraction in \(\mathrm{CAT}(0)\) spaces ⋮ Superiorization and bounded perturbation resilience of a gradient projection algorithm solving the convex minimization problem ⋮ On the convergence, stability and data dependence results of the JK iteration process in Banach spaces ⋮ A faster iterative method for solving nonlinear third-order BVPs based on Green's function ⋮ Numerical and theoretical analysis for fixed points for solving differential equation with retarded argument using an efficient iterative method ⋮ Convergence Theorems for Suzuki Generalized Nonexpansive Mapping in Banach Spaces ⋮ APPROXIMATION OF ITERATIVE METHODS FOR ALTERING POINTS PROBLEM WITH APPLICATIONS ⋮ Unnamed Item ⋮ A novel iterative scheme to approximate the fixed points of Zamfirescu operator and generalized non-expansive map with an application ⋮ Iterative approximation of common fixed points of two nonself asymptotically nonexpansive mappings in CAT(0) spaces with numerical examples ⋮ On a four-step iterative algorithm and its application to delay integral equations in hyperbolic spaces ⋮ On the approximation of fixed points for the class of mappings satisfying $(CSC)$-condition in Hadamard spaces ⋮ Convergence analysis of M-iteration for \(\mathcal{G}\)-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems ⋮ \(n^{\mathrm{th}}\) composite iterative scheme via weak contractions with application ⋮ EXISTENCE OF SOLUTIONS FOR NONLINEAR VOLTERRA FREDHOLM INTEGRODIFFERENTIAL EQUATION OF HIGHER ORDER VIA S-ITERATION METHOD ⋮ Two new iterative schemes to approximate the fixed points for mappings ⋮ A new three-step fixed point iteration scheme with strong convergence and applications ⋮ New iterative methods for nonlinear operators as concerns convex programming applicable in differential problems, image deblurring, and signal recovering problems ⋮ Iterative construction of the fixed point of Suzuki's generalized nonexpansive mappings in Banach spaces ⋮ A novel iterative scheme for solving delay differential equations and nonlinear integral equations in Banach spaces ⋮ Bochner integrability of the random fixed point of a generalized random operator and almost sure stability of some faster random iterative processes ⋮ Operators with Property (E) as Concerns Numerical Analysis and Visualization ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis ⋮ Convergence rate analysis of proximal gradient methods with applications to composite minimization problems ⋮ MODIFIED PROXIMAL POINT ALGORITHM FOR MINIMIZATION AND FIXED POINT PROBLEM IN CAT(0) SPACES ⋮ Jungck-type implicit iterative algorithms with numerical examples ⋮ Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces ⋮ A new iterative scheme in CAT(0) spaces with convergence analysis ⋮ Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces ⋮ Error Estimate of Data Dependence for Discontinuous Operators by New Iteration Process with Convergence Analysis ⋮ Fixed Point Approximation of Suzuki Generalized Nonexpansive Mappings via New Faster Iteration Process ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonconvex Variational Inequalities ⋮ A NEW ITERATIVE METHOD FOR SOLVING SPLIT FEASIBILITY PROBLEM ⋮ Unnamed Item ⋮ Approximating common fixed points by a new faster iteration process ⋮ Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs ⋮ Some convergence results using K iteration process in Banach Spaces ⋮ Estimating fixed points via new iterative scheme with an application ⋮ The modified S-iteration process for nonexpansive mappings in \(\mathrm{CAT}(\kappa)\) spaces ⋮ Convergence, stability, and data dependence of a new iterative algorithm with an application ⋮ A new iterative approximation scheme for Reich-Suzuki-type nonexpansive operators with an application ⋮ A new fixed point algorithm for finding the solution of a delay differential equation ⋮ Demiclosed principle and convergence theorems for total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ Existence and convergence theorems of fixed points for multi-valued SCC-, SKC-, KSC-, SCS- and C-type mappings in hyperbolic spaces ⋮ Mixed type iterations for multivalued nonexpansive mappings in hyperbolic spaces ⋮ An iteration process for a general class of contractive-like operators: convergence, stability and polynomiography ⋮ On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces ⋮ Proximal point algorithms involving fixed points of nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces ⋮ A comparative study on the convergence rate of some iteration methods involving contractive mappings ⋮ A modified iteration for total asymptotically nonexpansive mappings in Hadamard spaces ⋮ \(\Delta\)-convergence theorems for multi-valued nonexpansive mappings in hyperbolic spaces ⋮ A new iterative algorithm for general variational inequality problem with applications ⋮ Approximating fixed points of a general class of nonexpansive mappings in Banach spaces with applications ⋮ An inertial S-iteration process for a common fixed point of a family of quasi-Bregman nonexpansive mappings ⋮ Polynomiography based on the nonstandard Newton-like root finding methods ⋮ Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces ⋮ Iterative algorithms of generalized nonexpansive mappings and monotone operators with application to convex minimization problem ⋮ Comparison rate of convergence and data dependence for a new iteration method ⋮ Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems ⋮ An accelerated common fixed point algorithm for a countable family of \(G\)-nonexpansive mappings with applications to image recovery ⋮ Fixed points of weakly \(K\)-nonexpansive mappings and a stability result for fixed point iterative process with an application ⋮ Convergence of generalized quasi-nonexpansive mappings in hyperbolic space ⋮ Some convergence results using \(K\) iteration process in CAT(0) spaces ⋮ An extragradient-like approximation method for variational inequalities and fixed point problems ⋮ Fixed point theorems and \(\Delta\)-convergence theorems for generalized hybrid mappings on CAT(0) spaces ⋮ On rate of convergence of various iterative schemes ⋮ On the rate of convergence of P-iteration, SP-iteration, and D-iteration methods for continuous nondecreasing functions on closed intervals ⋮ On rate of convergence of Jungck-type iterative schemes ⋮ Implicit relaxed and hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Some Newton-like methods with sharper error estimates for solving operator equations in Banach spaces ⋮ Fixed points of multivalued nonexpansive mappings in Banach spaces ⋮ Some observations on generalized non-expansive mappings with an application ⋮ Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities ⋮ Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type ⋮ A shrinking projection extragradient algorithm for equilibrium problem and fixed point problem ⋮ Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Approximation of the fixed point of multivalued quasi-nonexpansive mappings via a faster iterative process with applications ⋮ Convergence of three-step iterations for Ciric-quasi contractive operator in \(\mathbf{CAT(0)}\) spaces ⋮ Convergence of a new three-step iteration process to common fixed points of three \(G\)-nonexpansive mappings in Banach spaces with directed graphs ⋮ On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space ⋮ Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition ⋮ Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem ⋮ Iteration scheme for common fixed points of hemicontractive and nonexpansive operators in Banach spaces ⋮ Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Approximating fixed points of generalized nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces via modified \(S\)-iteration process ⋮ Approximating fixed points of Reich-Suzuki type nonexpansive mappings in hyperbolic spaces ⋮ Fixed point theorems for a new class of mappings in modular spaces endowed with a graph ⋮ Fixed point results of a general class of monotone nonexpansive mappings in hyperbolic metric spaces ⋮ Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces ⋮ Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Stable iteration procedures in metric spaces which generalize a Picard-type iteration ⋮ Fixed point approximation of nonexpansive mappings on a nonlinear domain ⋮ Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms ⋮ Hybrid methods with regularization for minimization problems and asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense ⋮ Polynomiography for the polynomial infinity norm via Kalantari's formula and nonstandard iterations ⋮ A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings ⋮ Convergence rate of some two-step iterative schemes in Banach spaces ⋮ Fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces ⋮ Iterative approximation of fixed points by using \(F\) iteration process in Banach spaces ⋮ On an iterative process for generalized nonexpansive multi-valued mappings in Banach spaces ⋮ Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces ⋮ A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs ⋮ Fixed point approximation of generalized nonexpansive mappings in hyperbolic spaces ⋮ Bisheh-Niasar-Saadatmandi root finding method via the \(S\)-iteration with periodic parameters and its polynomiography ⋮ Strong and \(\triangle\)-convergence theorems for two asymptotically nonexpansive mappings in the intermediate sense in \(\operatorname{CAT}(0)\) spaces ⋮ Convergence analysis of modified abbas iteration process for two \(G\)-nonexpansive mappings ⋮ Estimation of newly established iterative scheme for generalized nonexpansive mappings ⋮ A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces ⋮ Procedural generation of aesthetic patterns from dynamics and iteration processes ⋮ Efficacy of coefficients on rate of convergence of some iteration methods for quasi-contractions ⋮ Some convergence results for multi-valued mappings in hyperbolic spaces ⋮ Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning ⋮ A new iterative method for Suzuki mappings in Banach spaces ⋮ Common fixed points of monotone \(\rho\)-nonexpansive semigroup in modular spaces ⋮ Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces ⋮ Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces ⋮ Convergence of some iterative algorithms for system of generalized set-valued variational inequalities ⋮ Asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ A modified proximal point algorithm for a nearly asymptotically quasi-nonexpansive mapping with an application ⋮ A novel approach for the solution of BVPs via Green's function and fixed point iterative method ⋮ Approximation of fixed point and its application to fractional differential equation ⋮ A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings ⋮ Convergence and stability of an iteration process and solution of a fractional differential equation ⋮ Fixed-point approximations of generalized nonexpansive mappings via generalized M-iteration process in hyperbolic spaces ⋮ Application of a new accelerated algorithm to regression problems ⋮ Iterative approximations for a class of generalized nonexpansive operators in Banach spaces ⋮ A new faster iterative scheme for numerical fixed points estimation of Suzuki's generalized nonexpansive mappings ⋮ Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces ⋮ On the JK iterative process in Banach spaces ⋮ Fixed points of monotone total asymptotically nonexpansive mapping in hyperbolic space via new algorithm ⋮ Convergence of modified \(S\)-iteration process for two asymptotically quasi-nonexpansive type mappings in CAT(0) spaces ⋮ Viscosity \(S\)-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems ⋮ Convergence of modified \(S\)-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces ⋮ New iteration scheme for numerical reckoning fixed points of nonexpansive mappings ⋮ Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces ⋮ Fixed point approximation for \(SKC\)-mappings in hyperbolic spaces ⋮ S-iterative algorithm for solving variational inequalities ⋮ Newton-like methods and polynomiographic visualization of modified Thakur processes ⋮ Approximating common fixed points of nearly asymptotically nonexpansive mappings ⋮ Some convergence, stability, and data dependence results for $K^{\ast }$ iterative method of quasi-strictly contractive mappings ⋮ Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces ⋮ Unnamed Item ⋮ Numerical reckoning fixed points via new faster iteration process ⋮ Application of Fixed Point Iterative Methods to Construct Fractals and Anti-fractals ⋮ Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ Two-step iterative approximation of common fixed points of two nonself asymptotically quasi-nonexpansive mappings ⋮ Convergence analysis for a new two-step iteration process for G-nonexpansive mappings with directed graphs ⋮ Iterative approximation of attractive points of further generalized hybrid mappings in Hadamard spaces ⋮ Convex minimization problems based on an accelerated fixed point algorithm with applications to image restoration problems ⋮ An Example of Data Dependence Result for The Class of Almost Contraction Mappings ⋮ A ROBUST ITERATIVE APPROACH FOR SOLVING NONLINEAR VOLTERRA DELAY INTEGRO–DIFFERENTIAL EQUATIONS ⋮ Parallel Normal S-Iteration Methods with Applications to Optimization Problems ⋮ Unnamed Item ⋮ Fixed point approximation of Picard normal \(S\)-iteration process for generalized nonexpansive mappings in hyperbolic spaces ⋮ S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities ⋮ A proximal point algorithm for finding minimizers and fixed points of quasi-pseudo-contractive mappings in CAT(0) spaces ⋮ Some new results on convergence, stability and data dependence in n-normed spaces ⋮ Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Some convergence results for nearly asymptotically nonexpansive nonself mappings in CAT(\(\kappa\)) spaces ⋮ Convergence of an iteration scheme in convex metric spaces ⋮ Convergence theorems of a faster iteration process including multivalued mappings with analytical and numerical examples ⋮ Best proximity points of (EP)-operators with qualitative analysis and simulation ⋮ On the strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings on CAT(0) space ⋮ Estimating fixed points of non-expansive mappings with an application ⋮ Convergence analysis of an accelerated iteration for monotone generalized \(\alpha\)-nonexpansive mappings with a partial order ⋮ On a Three-Step Iteration Process for Suzuki Mappings with Qualitative Study ⋮ Approximating fixed points of generalized \(\alpha\)-nonexpansive mappings in Banach spaces by new faster iteration process ⋮ Convergence to common fixed points by a modified iteration process ⋮ A note on hybridization process applied on transformed double step size model ⋮ A note on a faster fixed point iterative method ⋮ Approximating fixed points of operators satisfying (RCSC) condition in Banach spaces ⋮ Control of dynamics of the modified Newton-Raphson algorithm ⋮ On Approximating Fixed Point in CAT(0) Spaces ⋮ Convergence theorems for fixed points in \(\mathrm{CAT}_p(0)\) spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Data dependence results of new multi-step and S-iterative schemes for contractive-like operators ⋮ Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces ⋮ Approximation of fixed points and best proximity points of relatively nonexpansive mappings ⋮ Unnamed Item ⋮ Newton's method with fractional derivatives and various iteration processes via visual analysis ⋮ Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ A new iterative scheme for finding attractive points of (\alpha,\beta)-generalized hybrid set-valued mappings ⋮ Weak and Strong Convergence Theorems ofG-Monotone Nonexpansive Mapping in Banach Spaces with a Graph ⋮ Fixed point approximation for a class of generalized nonexpansive mappings in Hadamard spaces ⋮ Iterative construction of fixed points for operators endowed with condition \((E)\) in metric spaces ⋮ Some convergence results for a class of generalized nonexpansive mappings in Banach spaces ⋮ Weak convergence for nonself nearly asymptotically nonexpansive mappings by iterations ⋮ On the strong and \(\delta\)-convergence of new multi-step and \(S\)-iteration processes in a \(\mathrm{CAT}(0)\) space ⋮ Strong and \(\delta\)-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces ⋮ A new multi-step iteration for solving a fixed point problem of nonexpansive mappings ⋮ Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems ⋮ A New and Faster Iterative Scheme Including Generalized $\alpha$-nonexpansive Mappings in Banach Spaces ⋮ Tricorns and multicorns of \(S\)-iteration scheme ⋮ The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem ⋮ Unnamed Item ⋮ Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces ⋮ Unnamed Item ⋮ Some Convergence Results of the $$K^{*}$$ Iteration Process in CAT(0) Spaces ⋮ Approximating Fixed Points of Suzuki $$(\alpha ,\beta )$$-Nonexpansive Mappings in Ordered Hyperbolic Metric Spaces ⋮ A new iteration technique for nonlinear operators as concerns convex programming and feasibility problems ⋮ Common solution for a finite family of minimization problem and fixed point problem for a pair of demicontractive mappings in Hadamard spaces ⋮ Dynamics of iterative schemes for quadratic polynomial ⋮ Iterative approximation of endpoints for multivalued mappings in Banach spaces ⋮ numerical Reckoning Fixed Points for Berinde Mappings via a Faster iteration Process ⋮ Higher order methods of the basic family of iterations via \(S\)-iteration scheme with \(s\)-convexity ⋮ Iterative approximation of common attractive points of \((\alpha ,\beta )\)-generalized hybrid set-valued mappings ⋮ Unnamed Item ⋮ Some convergence results of M iterative process in Banach spaces ⋮ An iterative method and its application to stable inversion ⋮ Strong convergence results for equilibrium problems and fixed point problems for multivalued mappings ⋮ Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A fixed-point theorem for monotone nearly asymptotically nonexpansive mappings ⋮ Unnamed Item ⋮ Convergence theorems for hierarchical fixed point problems and variational inequalities ⋮ Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces ⋮ Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The numerical reckoning of modified proximal point methods for minimization problems in non-positive curvature metric spaces ⋮ Hybrid algorithm with perturbations for total asymptotically non-expansive mappings in CAT(0) space