Minimax inequalities equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorems
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Publication:687073
DOI10.1007/BF01182980zbMath0788.49015MaRDI QIDQ687073
Publication date: 20 December 1993
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces ⋮ The Fan minimax inequality implies the Nash equilibrium theorem ⋮ Evolution of the minimax inequality of Ky Fan ⋮ A Ky Fan minimax inequality for quasiequilibria on finite-dimensional spaces ⋮ Quasi-variational inequalities with non-compact sets ⋮ Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
Cites Work
- On the use of KKM multifunctions in fixed point theory and related topics
- A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
- Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities
- Fixed points theorems for mappings with non-compact and non-convex domains
- Quasi-variational inequalities with non-compact sets
- Existence of equilibrium in abstract economies with discontinuous payoffs and non-compact choice spaces
- Variational inequalities, complementarity problems, and duality theorems
- On some non-linear elliptic differential functional equations
- Extensions of two fixed point theorems of F. E. Browder
- Mathematical methods of game and economic theory
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