Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Another control condition in an iterative method for nonexpansive mappings - MaRDI portal

Another control condition in an iterative method for nonexpansive mappings

From MaRDI portal
Publication:4532579

DOI10.1017/S0004972700020116zbMath1030.47036MaRDI QIDQ4532579

Hong-Kun Xu

Publication date: 19 February 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)




Related Items

Strong convergence theorems for equilibrium problems and fixed point problems in Banach spacesA hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distanceMultivariate fixed point theorems for contractions and nonexpansive mappings with applicationsA general iterative method for hierarchical variational inequality problems in Hilbert spaces and applicationsIteration process for solving a fixed point problem of nonexpansive mappings in Banach spacesApproximating a common point of fixed points of a pseudocontractive mapping and zeros of sum of monotone mappingsModified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spacesAn algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mappingA modified iterative method for a finite collection of non-self mappings and a family of variational inequality problemsApproximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spacesConvergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappingsStrong convergence of iterative methods for \(k\)-strictly pseudo-contractive mappings in Hilbert spacesStrong convergence theorems for uniformly continuous pseudocontractive mapsMoudafi's viscosity approximations with Meir--Keeler contractionsHalpern-Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappingsStrong convergence theorems for maximal and inverse-strongly monotone mappings in Hilbert spaces and applicationsConvergence theorems of common elements for pseudocontractive mappings and monotone mappingsIterative algorithms for minimum-norm fixed point of non-expansive mapping in Hilbert spaceRevising an iterative algorithm for finding a common solution of a system of variational inequalities for two inverse strongly accretive operatorsStrong convergence theorems for a common fixed point of a family of asymptotically \(k\)-strict pseudocontractive mappingsProximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spacesStrong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applicationsOn the equivalence between some kinds of implicit and explicit iterations with applicationsA general iterative method for a finite family of nonexpansive mappingsSplit common null point and common fixed point problems between Banach spaces and Hilbert spacesStrong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spacesIterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problemsHalpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applicationsHalpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by oneAn algorithm for a common fixed point of a family of pseudocontractive mappingsConvergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance functionStrong convergence of Halpern iterations for quasi-nonexpansive mappings and accretive operators in Banach spacesStrong convergence to solutions of generalized mixed equilibrium problems with applicationsStrong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spacesA new convergence theorem for families of asymptotically nonexpansive maps and solution of variational inequality problemStrong convergence of an iterative scheme by a new type of projection method for a family of quasinonexpansive mappingsExplicit hierarchical fixed point approach to variational inequalitiesA general iterative method for a nonexpansive semigroup in Banach spaces with gauge functionsViscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functionsA Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problemsApproximation of common solutions of nonlinear problems involving various classes of mappingsStrong convergence theorems for a common fixed point of a finite family of pseudocontractive mappingsStrong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spacesApproximations for equilibrium problems and nonexpansive semigroupsOn solutions of variational inequality problems via iterative methodsConvergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spacesViscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problemsIterative algorithms for nonexpansive mappingsOn the zero point problem of monotone operators in Hadamard spacesA new multi-step iterative algorithm for approximating common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappingsTwo new extragradient methods for solving equilibrium problemsStrong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert spaceConvergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spacesAttractive points and Halpern-type strong convergence theorems in Hilbert spacesConvergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappingsThe general split equality problem for Bregman quasi-nonexpansive mappings in Banach spacesA viscosity extragradient method for an equilibrium problem and fixed point problem in Hilbert spaceStrong convergence of double-projection method for variational inequality problemsIterative algorithms with variable anchors for non-expansive mappingsStrongly convergent algorithms by using new adaptive regularization parameter for equilibrium problemsStrong convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spacesAn iterative learning algorithm for feedforward neural networks with random weightsRegularization projection method for solving bilevel variational inequality problemA general iterative method for split common fixed point problem and variational inclusion problemHalpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spacesStrong convergence theorems of common fixed points for a family of quasi-\(\varphi\)-nonexpansive mappingsRegularization and iterative methods for monotone variational inequalitiesHybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappingsAn iteration to a common point of solution of variational inequality and fixed point-problems in Banach spacesA new strong convergence theorem for equilibrium problems and fixed point problems in Banach spacesDuality fixed point and zero point theorems and applicationsFinding minimum norm fixed point of nonexpansive mappings and applicationsOptimal parameter selections for a general Halpern iterationViscosity approximations methods for \((\psi,\varphi)\)-weakly contractive mappingsThe common minimal-norm fixed point of a finite family of nonexpansive mappingsStrong convergence theorems for a new iterative method of \(k\)-strictly pseudo-contractive mappings in Hilbert spacesHalpern-Ishikawa type iterative schemes for approximating fixed points of multi-valued non-self mappingsAn iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spacesStrong convergence of a self-adaptive method for the split feasibility problem in Banach spacesApproximation of common fixed points for a family of finite nonexpansive mappings in Banach spaceA unified algorithm for solving split generalized mixed equilibrium problem, and for finding fixed point of nonspreading mapping in Hilbert spacesSome results on \(k\)-strictly pseudo-contractive mappings in Hilbert spacesStrong convergence inertial projection algorithm with self-adaptive step size rule for pseudomonotone variational inequalities in Hilbert spacesStrong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappingsStrong convergence of an iterative method for nonexpansive mappings with new control conditionsA new iterative algorithm for common solutions of a finite family of accretive operatorsApproximating common fixed points of a finite family of non-self mappings in Hilbert spacesTwo strongly convergent self-adaptive iterative schemes for solving pseudo-monotone equilibrium problems with applicationsConvergence to a common fixed point of a finite family of generalized asymptotically nonexpansive mappingsAn algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spacesProximal method of solving split system of minimization problemInertial-viscosity-type algorithms for solving generalized equilibrium and fixed point problems in Hilbert spacesQuantitative translations for viscosity approximation methods in hyperbolic spacesHybrid methods for a class of monotone variational inequalitiesTwo nonmonotonic self-adaptive strongly convergent projection-type methods for solving pseudomonotone variational inequalitiesA new proximal-like algorithm for solving split variational inclusion problemsConvergence comparison of several iteration algorithms for the common fixed point problemsConvergence of a hybrid projection algorithm in Banach spacesStrong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spacesA scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mappingModified accelerated algorithms for solving variational inequalitiesStrong convergence of the viscosity approximation method for the split generalized equilibrium problemA halpern-type iteration for solving the split feasibility problem and the fixed point problem of Bregman relatively nonexpansive semigroup in Banach spacesIterative regularization methods for solving equilibrium problemsA common solution of f-fixed point and variational inequality problems in Banach spacesRegularization extragradient methods for equilibrium programming in Hilbert spacesStrong convergence theorem for a finite family of demimetric mappings with variational inequality problems in a Hilbert spaceRegularization proximal method for monotone variational inclusionsMODIFIED HALPERN ITERATIVE ALGORITHM FOR NONEXPANSIVE MAPPINGS IIA new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problemsViscosity-type method for solving pseudomonotone equilibrium problems in a real Hilbert space with applicationsIterative approximation of fixed points of nonexpansive mappingsApproximating the minimum-norm fixed point of pseudocontractive mappingsIterative regularization methods with new stepsize rules for solving variational inclusionsTwo strongly convergent methods governed by pseudo-monotone bi-function in a real Hilbert space with applicationsTwo generalized non-monotone explicit strongly convergent extragradient methods for solving pseudomonotone equilibrium problems and applicationsA new algorithm for finding fixed points of Bregman asymptotically regular quasi-nonexpansive mapping and solutions of equilibrium problemsOn Fixed Point Results for Hemicontractive-type Multi-valued Mapping, Finite Families of Split Equilibrium and Variational Inequality ProblemsNew extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spacesHalpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spacesIterative method with inertial terms for nonexpansive mappings: applications to compressed sensingA new iteration method for variational inequalities on the set of common fixed points for a finite family of quasi-pseudocontractions in Hilbert spacesAn algorithm with general errors for the zero point of monotone mappings in Banach spacesConvergence results for a common solution of a finite family of equilibrium problems and quasi-Bregman nonexpansive mappings in Banach spaceConvergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappingsAn inertial non-monotonic self-adaptive iterative algorithm for solving equilibrium problemsUnnamed ItemViscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spacesA new algorithm for finding fixed points of Bregman quasi-nonexpansive mappings and zeros of maximal monotone operators by using products of resolventsAccelerated non-monotonic explicit proximal-type method for solving equilibrium programming with convex constraints and its applicationsGeneral alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spacesA general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spacesThe Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative AlgorithmUnnamed ItemUnnamed ItemAn extragradient algorithm for solving equilibrium problem and zero point problem in Hadamard spacesA modified inertial viscosity algorithm for an infinite family of nonexpansive mappings and its application to image restorationA class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalitiesNon-monotonic and self-adaptive strongly convergent iterative methods for efficiently solving variational inequalities with pseudomonotone operatorsHalpern-type iterations for strongly relatively nonexpansive mappings in Banach spacesA novel accelerated extragradient algorithm to solve pseudomonotone variational inequalitiesGeneralized Halpern iteration with new control conditions and its applicationUnnamed ItemUnnamed ItemApproximating common fixed points of Bregman weakly relatively nonexpansive mappings in Banach spacesNonlinear iterative methods for solving the split common null point problem in Banach spacesIterative methods for the split feasibility problem and the fixed point problem in Banach spacesSTRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACEStrong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Banach spacesStrong convergence of inertial algorithms for solving equilibrium problemsIterative algorithm for a common fixed point of two mono-pseudocontractive mappings in Banach spacesHalpern's Iteration for Bregman Relatively Nonexpansive Mappings in Banach SpacesUnnamed ItemCOMMON FIXED POINTS OF A PAIR OF NON-EXPANSIVE MAPPINGS WITH APPLICATIONS TO CONVEX FEASIBILITY PROBLEMSStrong convergence to common fixed points of a finite family of nonexpansive mappingsIterative algorithm for approximating solutions of maximal monotone operators in Hilbert spacesStrong convergence theorem for nonexpansive mappings on star-shaped sets in Hilbert spacesAn algorithm for a common minimum-norm zero of a finite family of monotone mappings in Banach spacesStrong convergence theorems for modifying Halpern-Mann iterations for a quasi-\(\phi\)-asymptotically nonexpansive multi-valued mapping in Banach spacesA new multi-step iteration for solving a fixed point problem of nonexpansive mappingsA modified Halpern iteration in CAT(0) spacesA new approximation method for common fixed points of families of nonexpansive maps and solution of variational inequalities problemsStrong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spacesStrong convergence of Halpern method for firmly type nonexpansive mappingsUnnamed ItemWeak and Strong Convergence Theorems for New Demimetric Mappings and the Split Common Fixed Point Problem in Banach SpacesA hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spacesStrong convergence theorems of k-strict pseudo-contractions in Hilbert spacesApproximation of common solutions for a fixed point problem of asymptotically nonexpansive mapping and a generalized equilibrium problem in Hilbert spaceApproximating solutions of Hammerstein type equations in Banach spacesViscosity extragradient method with Armijo linesearch rule for pseudomonotone equilibrium problem and fixed point problem in Hilbert spacesIterative approximations of attractive point of a new generalized Bregman nonspreading mapping in Banach spacesUnnamed ItemUnnamed ItemConvergence analysis of generalized viscosity implicit rules for a nonexpansive semigroup with gauge functionsViscosity methods for common solutions for equilibrium and hierarchical fixed point problemsIterative methods for finding minimum-norm fixed points of nonexpansive mappings with applicationsMinimum-norm solution of variational inequality and fixed point problem in banach spacesStrong convergence of subgradient extragradient method with regularization for solving variational inequalitiesA self-adaptive Tseng extragradient method for solving monotone variational inequality and fixed point problems in Banach spacesA modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spacesExplicit extragradient-like method with regularization for variational inequalitiesUnnamed ItemConvergence theorems of common solutions for fixed point, variational inequality and equilibrium problemsAttractive points of further 2-generalized hybrid mappings in a complete CAT(0) spaceNew iterative regularization methods for solving split variational inclusion problemsA sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappingsMinimum-norm fixed point of nonexpansive mappings with applicationsUnnamed ItemA modified Halpern-proximal point method for approximating solutions of mixed equilibrium and fixed point problems in Hadamard spacesStrong convergence theorems for quasi-Bregman nonexpansive mappings in reflexive Banach spacesA strong convergence theorem for solving an equilibrium problem and a fixed point problem using the Bregman distanceThree novel two-step proximal-like methods for solving equilibrium and fixed point problems in real Hilbert spacesA gradient-like regularized dynamics for monotone equilibrium problemsA new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spacesIterative methods for generalized split feasibility problems in Hilbert spacesStrong convergence of Halpern iteration for products of finitely many resolvents of maximal monotone operators in Banach spacesThree novel inertial explicit Tseng's extragradient methods for solving pseudomonotone variational inequalitiesVISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONSStrong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point ProblemsNew iterative methods for finding solutions of Hammerstein equationsFast hybrid iterative schemes for solving variational inclusion problemsConvergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operatorsOn regularized forward-backward dynamical systems associated with structured monotone inclusionsExtragradient method for approximating a common solution for a fixed point and variational inequality problems in Hilbert spaceRegularization methods for hierarchical variational inequality problems on Hadamard manifoldsRelaxed single projection methods for solving bilevel variational inequality problems in Hilbert spacesAlgorithmic procedure for approximate solution of split problems involving various classes of mappingsUnnamed ItemUnnamed ItemUnnamed Item



Cites Work