On Naimpally and Singh's open questions

DOI10.1016/0022-247X(87)90031-XzbMath0625.47044MaRDI QIDQ579611

Qihou Liu

Publication date: 1987

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

zbMATH Keywords

fixed pointconvergence theoremssequence of Ishikawa iterates for quasi-contractive and Lipschitzian hemicontractive mappings

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

Convergence and stability of ishikawa iterative methods with errors for quasi-contractive mappings inq-uniformly smooth banach spaces ⋮ Iterative solution of \(0\in Ax\) for an \(m\)-accretive operator \(A\) in certain Banach spaces ⋮ Generalized set-valued variational inclusions in \(q\)-uniformly smooth Banach spaces ⋮ Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces ⋮ Convergence theorems for asymptotically pseudocontractive mappings ⋮ On a Mann type implicit iteration process for continuous pseudo-contractive mappings ⋮ A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings ⋮ Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces ⋮ A counterexample to a theorem of Xu ⋮ On Mann iteration in Hilbert spaces ⋮ Unnamed Item ⋮ Convergence theorems on asymptotically demicontractive and hemicontractive mappings in the intermediate sense ⋮ Iterative solution of nonlinear equations of accretive and pseudocontractive types. ⋮ Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces ⋮ Golden ratio algorithms for variational inequalities ⋮ Convergence of Ishikawa's iteration method for pseudocontractive mappings ⋮ A necessary and sufficient condition for the strong convergence of Lipschitzian pseudocontractive mapping in Banach spaces ⋮ Convergence theorems of the Ishikawa type iterative sequences with errors for generalized quasi-contractive mappings in convex metric spaces ⋮ Iterative approximation of fixed points of Lipschitz pseudocontractive maps ⋮ Convergence analysis of iterative sequences for a pair of mappings in Banach spaces ⋮ A convergence theorem for Ishikawa iterates of continuous generalized nonexpansive maps ⋮ A note on the Ishikawa iteration scheme ⋮ Convergence theorems of a three-step iteration method for a countable family of pseudocontractive mappings ⋮ Stability of iterative procedures with errors for approximating common fixed points of quasi-contractive mappings ⋮ Iterative sequence for asymptotically demicontractive maps in Banach spaces ⋮ Strong convergence of averaged approximants for Lipschitz pseudocontractive maps ⋮ Stability of iterative procedures with errors for approximating common fixed points of a couple of \(q\)-contractive-like mappings in Banach spaces ⋮ Convergence of Ishikawa Iterates for a Multi-Valued Mapping with a Fixed Point ⋮ Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps ⋮ Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations ⋮ Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in \(q\)-uniformly smooth Banach spaces ⋮ Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces ⋮ New iteration process for pseudocontractive mappings with convergence analysis ⋮ Viscosity approximation methods for split common fixed point problems without prior knowledge of the operator norm ⋮ The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings ⋮ Convergence of Ishikawa-type iterative sequence with errors for quasi-contractive mappings in convex metric spaces ⋮ Iterative construction of fixed points of asymptotically nonexpansive mappings

Cites Work

• Extensions of some fixed point theorems of Rhoades
• Comments on two fixed point iteration methods
• A Comparison of Various Definitions of Contractive Mappings
• Fixed Points by a New Iteration Method

This page was built for publication: On Naimpally and Singh's open questions