Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces

From MaRDI portal
Publication:1269696

DOI10.1006/jmaa.1998.5993zbMath0933.47040OpenAlexW2045361740MaRDI QIDQ1269696

Jong Soo Jung, Kang, Shin Min, Byung-Soo Lee, Shi Sheng Zhang, Yeol Je Cho

Publication date: 27 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cdfb10522bb28844959c17011713676b77c3a5d9




Related Items

Convergence theorems for multivalued \(\phi\)-hemicontractive operators and \(\phi\)-strongly accretive operatorsStrong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mappingOn the characterization of strong convergence of an iterative algorithm for a class of multi-valued variational inclusionsIterative approximation of fixed points for almost asymptotically nonexpansive type mappings in Banach spacesSTABLE AND ALMOST STABLE ITERATION SCHEMES FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN ARBITRARY BANACH SPACESIterative processes with errors for nonlinear equationsThe equivalence between the convergence of modified Picard, modified Mann, and modified Ishikawa iterationsA new iteration process for generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappingsStability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spacesAlmost stability of the Mann type iteration method with error term involving strictly hemicontractive mappings in smooth Banach spacesThe equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous \(\varphi \)-strongly accretive operators in uniformly smooth Banach spacesAn iterative algorithm on approximating fixed points of pseudocontractive mappingsOn Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappingsA novel iterative scheme for solving delay differential equations and nonlinear integral equations in Banach spacesIterative approximation of solutions to nonlinear equations of \(\phi\)-strongly accretive operators in Banach spaces.Implicit Mann type iteration method involving strictly hemicontractive mappings in Banach spacesIterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces.Convergence theorems of the Ishikawa type iterative sequences with errors for generalized quasi-contractive mappings in convex metric spacesConvergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operatorsSystem of N fixed point operator equations with N-pseudo-contractive mapping in reflexive Banach spacesUniform normal structure and solutions of Reich's open questionExponential inequalities for Mann’s iterative scheme with functional random errorsA new iteration process for finite families of generalized Lipschitz pseudo-contractive and generalized Lipschitz accretive mappingsStrong convergence theorems on two iterative method for non-expansive mappingsSome results on continuous pseudo-contractions in a reflexive Banach spaceNew convergence theorems for certain iterative schemes in Banach spacesConvergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operatorsConvergence of SP iterative scheme with mixed errors for accretive Lipschitzian and strongly accretive Lipschitzian operators in Banach spacesSome convergence problem of iterative sequences for accretive and pseudo-contractive type mapping in Banach spacesApproximating random common fixed point of random set-valued strongly pseudo-contractive mappingsConvergence theorems for fixed points of uniformly continuous generalized \(\varPhi\)-hemi-contractive mappingsApproximations for fixed points of \(\phi\)-hemicontractive mappings by the Ishikawa iterative process with mixed errorsThe Mann process for perturbed \(m\)-accretive operators in Banach spacesModified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach SpacesWeak stability of the Ishikawa iteration procedures for \(\phi\)-hemicontractions and accretive operatorsSystem of multivariate pseudo-contractive operator equations and the existence of solutionsStrong convergence theorems in real reflexive Banach spaces for non-expansive mappingsConvergence theorems of fixed points for asymptotically hemi-pseudocontractive mappingsIterative process with errors for fixed points of multivalued \(\Phi\)-hemicontractive operators in uniformly smooth Banach spacesGeneralized set-valued variational inclusions in Banach spacesMann and Ishikawa iterative approximation of solutions for \(m\)-accretive operator equationsSet-valued variational inclusions in Banach spacesIshikawa and Mann iterative processes with errors for set-valued strongly accretive and \(\phi\)-hemicontractive mappingsConvergence of iterative processes with errors for set-valued pseudocontractive and accretive type mappings in Banach spacesIterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive operators in Banach spaces.Convergence of Ishikawa-type iterative sequence with errors for quasi-contractive mappings in convex metric spacesIshikawa iterative process for constructing solutions of \(m\)-accretive operator equations.Strong convergence of an iterative algorithm for a class of nonlinear set-valued variational inclusionsOn the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spacesNew iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappingsIterative methods with mixed errors for perturbed \(m\)-accretive operator equations in arbitrary Banach spaces.



Cites Work


This page was built for publication: Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces