Nonexpansive and locally nonexpansive mappings in product spaces

DOI10.1016/0362-546X(88)90024-7zbMath0669.47032OpenAlexW2066710428MaRDI QIDQ3822726

Carlos Martinez-Yanez, William A. Kirk

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90024-7

zbMATH Keywords

fixed point theoremweakly compactfixed point property for nonexpansive mappingslocally nonexpansiveBrowder- Göhde property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Product spaces in general topology (54B10)

Related Items

An Iteration Process for Nonexpansive Mappings with Applications to Fixed Point Theory in Product Spaces ⋮ Strong asymptotic normal structure and fixed points in product spaces ⋮ Fixed points of nonexpansive mappings ⋮ Some results on fixed points in a cartesian product ⋮ On Fixed Point Theorems of Nonexpansive Mappings in Product Spaces ⋮ THE FIXED POINT PROPERTY IN DIRECT SUMS AND MODULUS ⋮ On the super fixed point property in product spaces ⋮ Fixed Point Theorems in Product Spaces ⋮ Geometrical conditions in product spaces ⋮ Neocompact sets and the fixed point property ⋮ A Random Fixed Point Theorem for Multivalued Nonexpansive Operators in Uniformly Convex Banach Spaces

Cites Work

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• Semicontractive and semiaccretive nonlinear mappings in Banach spaces