Fixed point theory of multimaps in abstract convex uniform spaces

DOI10.1016/j.na.2009.01.081zbMath1222.47078OpenAlexW2076376127MaRDI QIDQ923901

Sehie Park

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.081

zbMATH Keywords

\(G\)-convex spaceabstract convex spaceKKM spacealmost fixed pointmultimap (map) classes \(\mathfrak A_c^\kappa, \mathfrak B,\mathfrak K,\mathfrak{KC},\mathfrak{KD}\)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

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Convergence theorems of solutions of a generalized variational inequality ⋮ Systems of generalized quasivariational inclusion problems with applications in \(L\Gamma \)-spaces ⋮ Unnamed Item ⋮ Fixed points for better admissible multifunctions on proximity spaces ⋮ Convergence of iterative sequences for common zero points of a family of \(m\)-accretive mappings in Banach spaces ⋮ Convergence of iterative sequences for fixed point and variational inclusion problems ⋮ The KKM principle in abstract convex spaces: equivalent formulations and applications ⋮ On the von Neumann-Sion minimax theorem in KKM spaces

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