The stability of the set of KKM points

DOI10.1016/S0362-546X(03)00096-8zbMath1029.54050OpenAlexW2003011299MaRDI QIDQ1400261

Shu-wen Xiang, Jian Yu

Publication date: 13 August 2003

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/s0362-546x(03)00096-8

zbMATH Keywords

StabilityKKM pointEssential component

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (17)

Generic stability of the solution mapping for set-valued optimization problems ⋮ Some new generalizations of nonempty intersection theorems without convexity assumptions and essential stability of their solution set with applications ⋮ On Essential Sets of Fixed Points for Functions ⋮ On the stability of finding approximate fixed points by simplicial methods ⋮ Existence and stability analysis of optimal control ⋮ Essential stability in set optimization ⋮ 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 ⋮ The stability of set of solutions for symmetric vector quasi-equilibrium problems ⋮ A Hausdorff metric inequality with applications to the existence of essential components ⋮ Generic stability of Nash equilibria for noncooperative differential games ⋮ Generic stability and essential components of generalized KKM points and applications ⋮ Stability of solutions for Ky Fan's section theorem with some applications ⋮ The essential components of the set of equilibrium points for set-valued maps ⋮ Unified approach to existence and stability of essential components

Cites Work

• On essential components of the solution set of generalized games
• Essential equilibria of \(n\)-person noncooperative games
• On essential components of the set of Nash equilibrium points
• On the Strategic Stability of Equilibria
• The stability of coincident points for multivalued mappings
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