Quasi-variational relation problems and generalized Ekeland's variational principle with applications

DOI10.1080/02331934.2012.725055zbMath1309.90110OpenAlexW2029090488MaRDI QIDQ5495595

Lai-Jiu Lin, Yu-Chia Ye, Mircea Balaj

Publication date: 5 August 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.725055

zbMATH Keywords

stationary pointEkeland's variational principlegeneralized vector quasi-equilibrium problemquasi-variational relation problem

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (7)

Existence Theorems for a Variational Relation Problem ⋮ Variational relation problems in a general setting ⋮ Directional variational principles and applications to the existence study in optimization ⋮ Ekeland Variational Principles in Vector Equilibrium Problems ⋮ Solutions existence for two types of mixed variational relation problems ⋮ Existence Results for Systems of Quasi-Variational Relations ⋮ Generalized Ekeland's variational principle with applications

Cites Work

• Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems
• On mixed variational relation problems
• Generalized variational relation problems with applications
• Ekeland's principle for vector equilibrium problems
• Some equivalent formulations of the generalized Ekeland's variational principle and their applications
• An abstract problem in variational analysis
• Simultaneous variational relation problems and related applications
• Equivalent forms of a generalized KKM theorem and their applications
• Stability of solutions in parametric variational relation problems
• Conjugate convex operators
• Existence of equilibria via Ekeland's principle
• Some variants of the Ekeland variational principle for a set-valued map
• On the variational principle
• On maximal element theorems, variants of Ekeland's variational principle and their applications
• Systems of quasi-variational relations with applications
• Nonconvex minimization problems

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