Fixed points of upper semicontinuous mappings in locally G-convex spaces

DOI10.1017/S0004972700032457zbMath0927.47034OpenAlexW2170702575MaRDI QIDQ4236675

George Xian-Zhi Yuan

Publication date: 6 December 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700032457

zbMATH Keywords

fixed point theoremlocally \(G\)-convex spacelocally convex \(H\)-spacesFan-Glicksberg type fixed point theoremsupper semicontinuous set-valued mappings with closed acyclic values

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Topological representations of algebraic systems (54H10)

Related Items

The Generic Stability of Fixed Points for Upper Semicontinuous Mappings in Hyperconvex Metric Spaces ⋮ Fixed point theorems for the class S-KKM mappings in abstract convex spaces ⋮ Sensitivity analysis for generalized quasi-variational relation problems in locally \(G\)-convex spaces ⋮ Fixed Points, Continuous Selections, and Existence of Solution of Optimization-Related Problems ⋮ Existence result of generalized vector quasiequilibrium problems in locally \(G\)-convex spaces ⋮ The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications

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