Applications of a fixed point theorem in \(G\)-convex space
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Publication:5949349
DOI10.1016/S0362-546X(99)00456-3zbMath1001.47041WikidataQ126759751 ScholiaQ126759751MaRDI QIDQ5949349
Publication date: 16 December 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Related Items (35)
Collective fixed points and maximal elements with applications to abstract economies ⋮ Remarks on Best Approximations in Generalized Convex Spaces ⋮ General existence theorems, alternative theorems and applications to minimax problems ⋮ An intersection theorem with applications in minimax theory and equilibrium problem ⋮ Generalized KKM type theorems in FC-spaces with applications. I ⋮ A collectively fixed point theorem in abstract convex spaces and its applications ⋮ Generalized Browder-type fixed point theorem with strongly geodesic convexity on Hadamard manifolds with applications ⋮ Minimax inequalities inG-convex spaces ⋮ Coincidence theorems and minimax inequalities in abstract convex spaces ⋮ Transfer closed and transfer open multimaps in minimal spaces ⋮ On scalar equilibrium problem in generalized convex spaces ⋮ Equilibrium existence theorems of generalized games for generalized \(\mathcal L_{\theta, F_c}\)-majorized mapping in topological space ⋮ KKM type theorems with applications to generalized vector equilibrium problems in FC-spaces ⋮ Evolution of the 1984 KKM theorem of Ky Fan ⋮ Alternative theorems and minimax inequalities in \(G\)-convex spaces ⋮ Existence of the equilibrium in choice ⋮ On almost coincidence points in generalized convex spaces ⋮ System of coincidence theorems with applications. ⋮ Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems ⋮ Existence of solution of minimax inequalities, equilibria in games and fixed points without convexity and compactness assumptions ⋮ Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems ⋮ Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces. ⋮ Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities ⋮ Weak-equilibrium problems in \(G\)-convex spaces ⋮ Selecting families and their applications ⋮ Alternative principles and minimax inequalities in \(G\)-convex spaces ⋮ Existence of solutions to general quasiequilibrium problems and applications ⋮ Some results for the family 2-gKKM\((X,Y)\) and the \(\Phi\)-mapping in hyperconvex metric spaces ⋮ Two minimax inequalities in \(G\)-convex spaces ⋮ KKM type theorems and coincidence theorems with applications to the existence of equilibria ⋮ Equivalent forms of a generalized KKM theorem and their applications ⋮ Equilibria of nonparacompact generalized games with \(\mathcal L_c\)-majorized correspondences in \(FC\)-spaces ⋮ Fixed points, coincidence points and maximal elements with applications to generalized equilibrium problems and minimax theory ⋮ The study of KKM theorems with applications to vector equilibrium problems and implict vector variational inequalities problems ⋮ Fixed point theorems and existence of equilibrium points of noncompact abstract economies for \(\mathcal L_F^*\)-majorized mappings in FC-spaces
Cites Work
- Existence of maximal elements and equilibria in linear topological spaces
- A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
- On the generalized quasi-variational inequality problems
- Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
- On some generalized quasi-equilibrium problems
- A new existence theorem of maximal elements in non-compact \(H\)-spaces with applications to minimax inequalities and variational inequalities
- A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
- Coincidence theorems for admissible multifunctions on generalized convex spaces
- The fixed point theory of multi-valued mappings in topological vector spaces
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