A Hausdorff metric inequality with applications to the existence of essential components

DOI10.1016/j.na.2007.07.029zbMath1152.54018OpenAlexW1984712846MaRDI QIDQ938750

Jian Yu, Yong-Hui Zhou

Publication date: 27 August 2008

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.2007.07.029

zbMATH Keywords

essential componentKy Fan's section theoremNash equilibrium pointHausdorff metric inequalityKKM point

Mathematics Subject Classification ID

Noncooperative games (91A10) Set-valued maps in general topology (54C60) Fixed-point theorems (47H10)

Related Items (12)

Some new generalizations of nonempty intersection theorems without convexity assumptions and essential stability of their solution set with applications ⋮ Existence and generic stability of cooperative equilibria for multi-leader-multi-follower games ⋮ On existence and essential stability of solutions of symmetric variational relation problems ⋮ Stability of solutions for variational relation problems with applications ⋮ On essential stable sets of solutions in set optimization problems ⋮ Essential stability of solutions for maximal element theorem with applications ⋮ Existence and stability of solutions for maximal element theorem on Hadamard manifolds with applications ⋮ Essential stability of \(\alpha \)-core ⋮ Generic stability and essential components of generalized KKM points and applications ⋮ Essential stability in unified vector optimization ⋮ Stable analysis of solution set for system of quasivariational relations with applications ⋮ On the existence and stability of solutions of a mixed general type of variational relation problems

Cites Work

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• A generalization of Tychonoff's fixed point theorem
• Essential stability in games with infinitely many pure strategies
• Unified approach to existence and stability of essential components
• On essential components of the solution set of generalized games
• The stability of the set of KKM points
• Essential components of the set of weakly Pareto-Nash equilibrium points
• The essential components of coincident points for weakly inward and outward set-valued mappings
• Stability of solutions for Ky Fan's section theorem with some applications
• On the Relation Among Some Definitions of Strategic Stability
• On essential components of the set of Nash equilibrium points
• On the Strategic Stability of Equilibria
• Essential equilibria
• Essential and Non Essential Fixed Points

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