Fixed point theorems for the sum of \((ws)\)-compact and asymptotically \(\Phi\)-nonexpansive mappings

DOI10.1007/s11784-016-0326-8zbMath1450.47023OpenAlexW2521572599MaRDI QIDQ505830

Donal O'Regan, Afif Ben Amar, Amel Touati

Publication date: 26 January 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/s11784-016-0326-8

zbMATH Keywords

fixed point theoremsmeasure of weak noncompactnessdemiclosednessweakly compact\((ws)\)-compactasymptotically \(\Phi\)-nonexpansive

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions ⋮ Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions ⋮ Best proximity point for the sum of two non-self-operators ⋮ Fixed point theorems for countably asymptotically Ф-nonexpansive maps in locally convex spaces and application

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