Maximal elements for \(G_B\)-majorized mappings in product \(G\)-convex spaces and applications. I

DOI10.1007/BF02437867zbMath1078.47006OpenAlexW3214062511MaRDI QIDQ1888907

Xie Ping Ding

Publication date: 29 November 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02437867

zbMATH Keywords

set-valued mappingmaximal elementproduct spacemajorized mapping

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued operators (47H04)

Related Items (9)

Maximal elements for \(G_B\)-majorized mappings in product \(G\)-convex spaces and applications. II ⋮ Nonempty intersection theorems and system of generalized vector equilibrium problems in product \(G\)-convex spaces ⋮ Maximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. I ⋮ Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces ⋮ Maximal elements and generalized games involving condensing mappings in locally \(FC\)-uniform spaces and applications. I ⋮ Intersection theorems, coincidence theorems and maximal-element theorems in GFC-spaces ⋮ Maximal element theorems in product \(FC\)-spaces and generalized games ⋮ Maximal elements of a family of \(G_{\mathcal B}\)-majorized mappings in product FC-spaces and applications ⋮ Maximal element theorems with applications to generalized games and systems of generalized vector quasi-equilibrium problems in \(G\)-convex spaces

Cites Work

• Unnamed Item
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• Existence of maximal elements and equilibria in linear topological spaces
• On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
• Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• On equilibria of non-compact generalized games
• On the approximation of upper semi-continuous correspondences and the equilibria of generalized games
• Abstract convexity and fixed points
• The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces
• Existence of equilibrium for abstract economies
• Equilibria of generalized games with \(L\)-majorized correspondences
• Foundations of the KKM theory on generalized convex spaces
• Fixed points, minimax inequalities and equilibria of noncompact abstract economies
• Equilibria of noncompact generalized games with \(\mathcal U\)-majorized preference correspondences
• KKM property and fixed point theorems
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• A generalized fixed point theorem and equilibrium point of an abstract economy
• The existence of equilibria for noncompact generalized games
• Coincidence theorems and equilibria of generalized games
• A fixed point theorem and equilibrium point of an abstract economy
• A minimax inequality with applications to existence of equilibrium point and fixed point theorems
• The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
• Continuous Selection Theorems in Generalized Convex Spaces
• Approximation Method and Equilibria of Abstract Economies
• Coincidence theorems for the better admissible multimaps and their applications
• A Social Equilibrium Existence Theorem*
• Maximal element theorems of H-majorized correspondence and existence of equilibrium for abstract economies

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