Kakutani-Fan-Glicksberg type results in non-separated spaces
type: Item
instance of: scholarly article
title: Kakutani-Fan-Glicksberg type results in non-separated spaces
zbMATH Open document ID: 1394.54026
author: Shahram Saeidi
published in: Topology and its Applications
publication date: 2018-06-25T00:00:00Z
review text: The author presents extensions of some known results (Iohvidov-Ky Fan-Browder fixed point theorems, von Neumann-Ky Fan intersection theorems, and Nash-von Neumann-Sion-Ky Fan equilibrium and minimax theorems) to the case of not necessarily Hausdorff locally convex topological vector spaces.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 49K35
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 91A44
zbMATH DE Number: 6893986
zbMATH Keywords: multivalued map
zbMATH Keywords: set-valued map
zbMATH Keywords: fixed point
zbMATH Keywords: equilibrium
zbMATH Keywords: intersection theorem
zbMATH Keywords: minimax theorem
reviewed by: Valerii V. Obukhovskij
MaRDI profile type: Publication
full work available at URL: j.topol.2018.03.018
OpenAlex ID: W2793575336
cites work: Q5294646
cites work: On the structure of the set of solutions of a functional equation with applications to boundary value problems
cites work: Q3688675
cites work: The fixed point theory of multi-valued mappings in topological vector spaces
cites work: Q4877493
cites work: Applications of a theorem concerning sets with convex sections
cites work: Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
cites work: A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
cites work: On the solution sets of differential inclusions
cites work: Q3836181
cites work: Fixed points of compact multifunctions
cites work: On Metric Spaces with Uniform Normal Structure
cites work: Common fixed point properties for a family of set-valued mappings
cites work: Convergence of Viable Solutions of Differential Inclusions with Convex Compact Graphs
cites work: Equilibrium points in n -person games
cites work: Non-cooperative games
cites work: Q5766850
cites work: Q3576736
cites work: Generic existence of fixed points for set-valued mappings
cites work: Q3853400
cites work: Q4051163
cites work: Q5179794
cites work: A convexity in metric space and nonexpansive mappings. I.
cites work: Q3706043
Wikidata QID: Q130113687
DOI: 10.1016/J.TOPOL.2018.03.018
description: scientific article; zbMATH DE number 6893986