Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces

DOI10.1016/S0022-247X(02)00360-8zbMath1011.54034MaRDI QIDQ1856965

Xian Wu, H. B. Thompson, George Xian-Zhi Yuan

Publication date: 11 February 2003

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

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (12)

A fixed point theorem for multivalued maps in hyperconvex spaces ⋮ Fixed point theorems for the class S-KKM mappings in abstract convex spaces ⋮ Weak KKM set-valued mappings in hyperconvex metric spaces ⋮ Comments on some fixed point theorems in hyperconvex metric spaces. ⋮ KKM mappings in cone \(b\)-metric spaces ⋮ Generalized KKM theorems on hyperconvex metric spaces and some applications ⋮ Common fixed points of set-valued mappings in hyperconvex metric spaces ⋮ KKM mappings in metric spaces ⋮ KKM mappings in metric type spaces ⋮ Best approximation and fixed point theorems in hyperconvex metric spaces ⋮ Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces ⋮ A best approximation theorem in hyperconvex metric spaces

Cites Work

• Continuous selections. I
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• On the fixed points of commuting nonexpansive maps in hyperconvex spaces
• Extension and selection theorems in topological spaces with a generalized convexity structure
• KKM and Ky Fan theorems in hyperconvex metric spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• Hyperconvexity and approximate fixed points
• On nonlinear contraction semigroups in sup norm spaces
• A fixed point theorem and existence of equilibrium for abstract economies
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• Geometric Properties, Minimax Inequalities, and Fixed Point Theorems on Convex Spaces
• Continuous mappings in compact hyperconvex metric spaces
• Fixed point theory for nonexpansive mappings. II
• Fixed points of compact multifunctions
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