Fixed point theorems for new nonlinear mappings satisfying condition (CC*)

DOI10.1007/S11784-018-0647-XzbMath1417.47017OpenAlexW2905498603MaRDI QIDQ1716170

Erdal Karapınar

Publication date: 29 January 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0647-x

zbMATH Keywords

fixed pointconvergence theoremhybrid mappingChatterjea mappingcondition (CC)

Mathematics Subject Classification ID

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

Cites Work

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• Fixed point theorem for \(\alpha \)-nonexpansive mappings in Banach spaces
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• Equivalent Norms and the Fixed Point Property for Nonexpansive Mappings
• The solution by iteration of nonlinear functional equations in Banach spaces
• On the structure of the set of subsequential limit points of successive approximations
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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