On existence of fixed points for pointwise eventually nonexpansive mappings

DOI10.1007/s11784-017-0403-7zbMath1497.47084OpenAlexW2580794622MaRDI QIDQ1687183

Sangem Rajesh

Publication date: 22 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11784-017-0403-7

zbMATH Keywords

fixed pointsuniform normal structurepointwise eventually nonexpansive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces
• Asymptotic pointwise contractions
• On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
• Remarks on asymptotically nonexpansive mappings
• Fixed point theorems for mappings of asymptotically nonexpansive type
• Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
• Fixed point theorem for non-expansive mappings on banach spaces with uniformly normal structure
• Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property

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