A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces

DOI10.1016/j.na.2010.10.041zbMath1207.47056OpenAlexW2042372797MaRDI QIDQ629284

T. Butsan, Takahashi, Wataru, Sompong Dhompongsa

Publication date: 9 March 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.041

zbMATH Keywords

fixed pointEdelstein's methodnearly uniformly convex Banach spacepointwise eventually nonexpansive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (10)

On stationary points of nonexpansive set-valued mappings ⋮ Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ Approximating fixed points of a general class of nonexpansive mappings in Banach spaces with applications ⋮ Fixed point theorems of mean nonexpansive set-valued mappings in Banach spaces ⋮ On existence of fixed points for pointwise eventually nonexpansive mappings ⋮ Fixed point iteration in identifying bilinear models ⋮ Fixed point theorems by ways of ultra-asymptotic centers ⋮ Fixed point results for a class of monotone nonexpansive type mappings in hyperbolic spaces ⋮ Unnamed Item ⋮ The fixed point property for some generalized nonexpansive mappings and renormings

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