An iterative procedure for constructing zeros of accretive sets in Banach spaces
From MaRDI portal
Publication:4155371
DOI10.1016/0362-546X(78)90044-5zbMath0375.47032OpenAlexW2040251772MaRDI QIDQ4155371
Publication date: 1978
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(78)90044-5
General theory of numerical analysis in abstract spaces (65J05) Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) General theory of ordinary differential operators (47E05) Differential equations in abstract spaces (34G99)
Related Items
Convergence theorems for finite families of \(\Phi \)-strongly pseudocontractive mappings, Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces, Inequalities in Banach spaces with applications, Strong convergence of an iterative algorithm for pseudocontractive mapping in Banach spaces, Error bounds for approximation solutions to nonlinear equations of strongly accretive operators in uniformly smooth Banach spaces, Iterative process with errors of nonlinear equations involving \(m\)-accretive operators, Ishikawa and Mann iteration methods for nonlinear strongly accretive mappings, Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping, A remark on Ishikawa iteration, Weak convergence theorems for a finite family of strict pseudocontractions, Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces, Iterative methods for pseudocontractive mappings in Banach spaces, Iterative solution of nonlinear equations involving strongly accretive operators without the Lipschitz assumption, Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type, Iterative solution of nonlinear equations of the monotone type in Banach spaces, The solution by iteration of nonlinear equations in uniformly smooth Banach spaces, On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces, On Mann iteration in Hilbert spaces, Convergence theorems of iterative algorithms for continuous pseudocontractive mappings, The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous \(\varphi \)-strongly accretive operators in uniformly smooth Banach spaces, Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces, First-order frameworks for continuous Newton-like dynamics governed by maximally monotone operators, Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces, Strong convergence theorems for resolvents of accretive operators in Banach spaces, Product formulas, nonlinear semigroups, and accretive operators, Iterative solution of nonlinear equations of accretive and pseudocontractive types., Remark on stability of Ishikawa iterative procedures, Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces, On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings, Steepest descent approximations for accretive operator equations, Rates of convergence for iterative solutions of equations involving set-valued accretive operators, Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces, Iterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces., Path convergence and approximation of common zeroes of a finite family of \(m\)-accretive mappings in Banach spaces, Unnamed Item, A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces, Iterative solutions of nonlinear equations in smooth banach spaces, Implicit approximation scheme for the solution of \(K\)-positive definite operator equation, Weak convergence theorems for strict pseudo-contractions in Banach spaces, Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces, Strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings, On the steepest descent approximation method for the zeros of generalized accretive operators, Iterative approximation of solutions to nonlinear equations of strongly accretive operators in Banach spaces, Dual convergence theorems for the infinite products of resolvents in Banach spaces, Iterative process with errors to locally strictly pseudocontractive maps in Banach spaces, Some problems and results in the study of nonlinear analysis, A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations, Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces, Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization, New convergence theorems for certain iterative schemes in Banach spaces, Approximating fixed points of strongly pseudocontractive mappings by a new iteration method, Convergence of steepest descent approximation for set-valued quasi-accretive mapping equations, Convergence and almost stability of Ishikawa iterative scheme with errors for \(m\)-accretive operators, Approximation of Fixed Points of Strongly Pseudocontractive Mappings, Approximations for fixed points of \(\phi\)-hemicontractive mappings by the Ishikawa iterative process with mixed errors, The Mann process for perturbed \(m\)-accretive operators in Banach spaces, Weak stability of the Ishikawa iteration procedures for \(\phi\)-hemicontractions and accretive operators, Iterative solution of nonlinear equations of the monotone type in Banach spaces, A generalized proximal point algorithm and implicit iterative schemes for a sequence of operators on Banach spaces, Strong convergence of modified implicit iterative algorithms with perturbed mappings for continuous pseudocontractive mappings, Approximating fixed points of \(\Phi\)-hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces, Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces, A general convergence principle in nonlinear functional analysis, Strong convergence theorems for nonexpansive nonself-mappings in Banach spaces, Strong convergence of implicit viscosity approximation methods for pseudocontractive mappings in Banach spaces, A note on a theorem of Xu and Roach, On the asymptotic behavior for a certain nonlinear evolution equation, Hybrid steepest descent methods for zeros of nonlinear operators with applications to variational inequalities, Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces, Characteristic conditions for convergence of generalized steepest descent approximation to multivalued accretive operator equations, Iterative process with errors for fixed points of multivalued \(\Phi\)-hemicontractive operators in uniformly smooth Banach spaces, Strong convergence of approximating fixed points for nonexpansive nonself-mappings in Banach spaces, On the convergence problems of Ishikawa and Mann iterative processes with error for \(\Phi\)-pseudo contractive type mappings, On the strong convergence of the proximal point algorithm with an application to Hammerstein euations, Asymptotic behavior of solutions of a nonlinear evolution equation, Mann and Ishikawa iterative approximation of solutions for \(m\)-accretive operator equations, Multivalued mappings, A note on the stability of iteration procedures for strong pseudocontractions and strongly accretive type equations, A generalized steepest descent approximation for the zeros of \(m\)-accretive operators, Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces, Ishikawa and Mann iterative processes with errors for set-valued strongly accretive and \(\phi\)-hemicontractive mappings, Iterative solution of nonlinear equations with strongly accretive operators in Banach spaces, Iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive operators in Banach spaces., Iterative algorithms with errors for zeros of accretive operators in Banach spaces, Iterative process for Lipschitz local strictly pseudocontractive mappings
Cites Work
- Unnamed Item
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Nonexpansive projections on subsets of Banach spaces
- Asymptotic behavior of contractions in Banach spaces
- Differential Equations on Closed Subsets of a Banach Space
- Nonlinear evolution equations and nonlinear ergodic theorems
- Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
- Local boundedness of monotone-type operators
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces