The Kakutani property and the fixed point property of topological spaces with abstract convexity

DOI10.1016/0022-247X(92)90174-CzbMath0795.54053OpenAlexW2046870611MaRDI QIDQ1206868

Andrzej Wieczorek

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90174-c

zbMATH Keywords

convexityKakutani fixed point propertyKakutani property

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (9)

Abstract Convexity, Some Relations and Applications ⋮ Local properties of simplicial complexes ⋮ Equilibrium under uncertainty with fuzzy payoff ⋮ Fixed simplex property for retractable complexes ⋮ Games in possibility capacities with payoff expressed by fuzzy integral ⋮ Equilibria for games in idempotent measures ⋮ Compressibility: A property of topological spaces related to abstract convexity ⋮ Convergence of mann iteration processes for nonexpansive operators in equi-connected metric spaces ⋮ Equilibrium under uncertainty with Sugeno payoff

Cites Work

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• A fixed-point theorem for trees

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