Generic uniqueness theorems with some applications

DOI10.1007/s10898-012-9903-6zbMath1286.47033OpenAlexW2028160367MaRDI QIDQ2392782

Nai-Hua Xiu, Ding-Tao Peng, Jian Yu

Publication date: 2 August 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-012-9903-6

zbMATH Keywords

set-valued mappingsaddle pointoptimization problemvariational inequality problemgeneric uniqueness

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Set-valued operators (47H04) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (5)

The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set ⋮ Generic uniqueness of saddle point for two-person zero-sum differential games ⋮ Coherent Risk Measures Under Dominated Variation ⋮ The generic uniqueness and well-posedness of Nash equilibria for stable population games ⋮ Well-posedness and structural stability on a system of simultaneous generalized vector quasi-equilibrium problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generic uniqueness of equilibrium points
• Optimization on metric and normed spaces
• Essential weak efficient solution in multiobjective optimization problems
• Equilibrium problems under generalized convexity and generalized monotonicity
• On a generic optimization theorem of Petar Kenderov
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
• The Stability of Ky Fan's Points

This page was built for publication: Generic uniqueness theorems with some applications