Equilibrium formulations of relative optimization problems

DOI10.1007/s00186-019-00663-zzbMath1421.90147OpenAlexW2921157228MaRDI QIDQ2274153

Yanyan Li

Publication date: 19 September 2019

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00186-019-00663-z

zbMATH Keywords

quasi-equilibrium problemsequilibrium problemsexistence resultsnon-cooperative gamescoercivity conditionsregularized penalty methodrelative optimization

Mathematics Subject Classification ID

Decision theory (91B06) Noncooperative games (91A10) Numerical optimization and variational techniques (65K10) Management decision making, including multiple objectives (90B50) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Other game-theoretic models (91A40)

Related Items (7)

Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space ⋮ A new self-adaptive algorithm for solving pseudomonotone variational inequality problems in Hilbert spaces ⋮ On a threshold descent method for quasi-equilibria ⋮ The Tikhonov regularization for vector equilibrium problems ⋮ Variational inequality type formulations of general market equilibrium problems with local information ⋮ A general class of relative optimization problems ⋮ Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonmonotone equilibrium problems: Coercivity conditions and weak regularization
• Theory of multiobjective optimization
• Generalized Nash games and quasi-variational inequalities
• Optimal impulse and continuous control: Method of nonlinear quasi- variational inequalities
• Nonlinear programming and variational inequality problems. A unified approach
• Nonlinear multiobjective optimization
• Generalized games and non-compact quasi-variational inequalities
• Gap functions for equilibrium problems
• Combined relaxation methods for variational inequalities
• Descent methods for equilibrium problems in a Banach space
• Coercivity conditions for equilibrium problems
• On penalty methods for non monotone equilibrium problems
• Regularized penalty method for general equilibrium problems in Banach spaces
• Note on noncooperative convex games
• Non-cooperative games
• D-gap Functions for a Class of Equilibrium Problems in Banach Spaces
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Existence and Uniqueness of Equilibrium Points for Concave N-Person Games

This page was built for publication: Equilibrium formulations of relative optimization problems