Fixed Point Theorems and Convergence Theorems for a New Generalized Nonexpansive Mapping

DOI10.1080/01630563.2018.1497650OpenAlexW2897716388WikidataQ129122892 ScholiaQ129122892MaRDI QIDQ4622802

Liu Weiyi, Cai Donghan, Shi Jie

Publication date: 18 February 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1497650

zbMATH Keywords

iterationfixed pointnonexpansive mappingconvergence theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces ⋮ A unifying approach for some nonexpansiveness conditions on modular vector spaces

Cites Work

• A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings
• New approximation schemes for general variational inequalities
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Topological Methods in Nonlinear Functional Analysis
• A generalized Banach contraction principle that characterizes metric completeness