KKM property, \(S\)-KKM property and fixed point theorems
DOI10.1016/j.na.2005.02.045zbMath1202.54034OpenAlexW2042268222MaRDI QIDQ999990
Publication date: 4 February 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.2005.02.045
\(\Gamma \)-convex subset\(\mathfrak B\)\(LG\)-space\(S\)-KKMalmost convexgeneralised convex (\(G\)-convex) spacesKKM multimap classes
Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)
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Cites Work
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- On the use of KKM multifunctions in fixed point theory and related topics
- Contractibility and generalized convexity
- Fixed point theorems for new classes of multimaps
- On S-KKM property and-related topics
- Extension and selection theorems in topological spaces with a generalized convexity structure
- Foundations of the KKM theory on generalized convex spaces
- Generalizations of the KKM type theorems on generalized convex spaces
- Fixed point and approximation results for multimaps in S-KKM class.
- Fixed-point theorems for \(S\)-KKM maps
- KKM property and fixed point theorems
- Coincidence theorems for admissible multifunctions on generalized convex spaces
- Fixed points theorems of KKM-type maps
- Fixed point theorems in locally H-convex uniform spaces
- Coincidence theorems for the better admissible multimaps and their applications
- Fixed points of compact multifunctions
- Fixed-point theorems for multifunctions in S-KKM class
- Fixed point theorems in locally \(G\)-convex spaces
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