Stability of solutions for variational relation problems with applications

DOI10.1016/j.na.2011.09.007zbMath1237.49009OpenAlexW2094534461MaRDI QIDQ412618

Yong Jian Pu, Zhe Yang

Publication date: 4 May 2012

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.2011.09.007

zbMATH Keywords

Nash equilibriumvariational relationsessential pointessential componentKKM pointsKy Fan's pointKy Fan's section theorem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Fixed-point theorems (47H10) Existence theories for problems in abstract spaces (49J27)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of equilibria for multivalued mappings and its application to vectorial equilibria
• A generalization of Tychonoff's fixed point theorem
• An abstract problem in variational analysis
• A Hausdorff metric inequality with applications to the existence of essential components
• Stability of solutions in parametric variational relation problems
• The stability of the set of KKM points
• Essential components of the set of weakly Pareto-Nash equilibrium points
• Systems of nonempty intersection theorems with applications
• Stability of solutions for Ky Fan's section theorem with some applications
• The fixed point theory of multi-valued mappings in topological vector spaces
• Systems of quasi-variational relations with applications
• On the Definition of the Strategic Stability of Equilibria
• The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
• On essential components of the set of Nash equilibrium points
• SURFACES OF GENERAL TYPE WITH p_g= 1 AND q = 0
• On the Strategic Stability of Equilibria
• The Stability of Ky Fan's Points
• Essential and Non Essential Fixed Points

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