A new minimax inequality on H-spaces with applications
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Publication:3473713
DOI10.1017/S0004972700018347zbMath0697.49008MaRDI QIDQ3473713
Xie Ping Ding, Won Kyu Kim, Kok-Keong Tan
Publication date: 1990
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)
Related Items (10)
Extension and selection theorems in topological spaces with a generalized convexity structure ⋮ New minimax inequality with applications to existence theorems of equilibrium points ⋮ A further characteristic of abstract convexity structures on topological spaces ⋮ Foundations of the KKM theory on generalized convex spaces ⋮ A united approach to generalization of the KKM-type theorems related to acyclic maps ⋮ Some properties of abstract convexity structures on topological spaces ⋮ Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems ⋮ A new maximal element theorem in \(H\)-space with applications ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ Minimax theorems in fuzzy metric spaces
Cites Work
- Existence theorems and extreme solutions for inequalities concerning convex functions or linear transformations
- A generalization of Tychonoff's fixed point theorem
- Some properties of convex sets related to fixed point theorems
- Infinite-dimensional Gale-Nikaido-Debreu theorem and a fixed-point theorem of Tarafdar
- Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities
- Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
- A minimax inequality and its applications to variational inequalities
- Variational inequalities, complementarity problems, and duality theorems
- The fixed point theory of multi-valued mappings in topological vector spaces
- Comparison Theorems on Minimax Inequalities, Variational Inequalities, and Fixed Point Theorems
- On Nonlinear Variational Inequalities
- Minimax Theorems
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