A note on Mann iteration for quasi-nonexpansive mappings

DOI10.1016/0362-546X(81)90083-3zbMath0499.47045OpenAlexW2000525247MaRDI QIDQ3965170

S. P. Singh, Bruce Watson, Kaustuv Mukul Das

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90083-3

zbMATH Keywords

fixed pointMann iteration for quasi-nonexpansive mappingsnormal Mann process

Mathematics Subject Classification ID

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

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On the existence of solutions of variational inequalities in Banach spaces, Regularized algorithms for hierarchical fixed-point problems, Convergence of iterative algorithms to common random fixed points of random operators, Some convergence theorems of a sequence in complete metric spaces and its applications, The convergence property of Ishikawa iteration schemes in noncompact subsets of Hilbert spaces and its applications to complementarity theory, The generalized projection operator on reflexive Banach spaces and its applications, Iteration processes for nonlinear mappings in convex metric spaces, Best Approximation in Nonlinear Functional Analysis

Cites Work

• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Fixed Point Iterations Using Infinite Matrices
• On the Mann Iterative Process