Equivalent forms of a generalized KKM theorem and their applications
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Publication:984039
DOI10.1016/j.na.2010.03.055zbMath1204.49005OpenAlexW1999513372MaRDI QIDQ984039
Publication date: 13 July 2010
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.2010.03.055
KKM theoremcoincidence theoremcommon fixed point theoremvariational relation problemvariational inclusion problembetter admissible classmaximal element theorem
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Cites Work
- Unnamed Item
- Unnamed Item
- Generalized variational relation problems with applications
- On the use of KKM multifunctions in fixed point theory and related topics
- Existence of maximal elements and equilibria in linear topological spaces
- Systems of variational inclusion problems and differential inclusion problems with applications
- An abstract problem in variational analysis
- The studies of systems of variational inclusions problems and variational disclusions problems with applications
- Simultaneous variational relation problems and related applications
- Stability of solutions in parametric variational relation problems
- A minimax theorem for vector-valued functions
- Abstract convexity and fixed points
- KKM property and fixed point theorems
- The fixed point theory of multi-valued mappings in topological vector spaces
- Nonconvex minimization problems
- SURFACES OF GENERAL TYPE WITH pg= 1 AND q = 0
- Coincidence theorems for the better admissible multimaps and their applications
- Applications of a fixed point theorem in \(G\)-convex space
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