An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems
From MaRDI portal
Publication:523711
DOI10.1007/s10114-016-6184-xzbMath1368.46070OpenAlexW2555736318MaRDI QIDQ523711
Publication date: 21 April 2017
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-016-6184-x
Ekeland variational principlelower boundednessordered locally convex spacesemi-continuous set-valued mapset-valued vector equilibrium problem
Variational inequalities (49J40) General equilibrium theory (91B50) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) General theory of locally convex spaces (46A03)
Related Items (8)
Robust Ekeland variational principles. Application to the formation and stability of partnerships ⋮ Further on set-valued equilibrium problems in the pseudo-monotone case and applications to Browder variational inclusions ⋮ Vectorial Ekeland variational principle and cyclically antimonotone equilibrium problems ⋮ Ekeland variational principles for set-valued functions with set perturbations ⋮ Equilibrium set-valued variational principles and the lower boundedness condition with application to psychology ⋮ Equilibrium versions of variational principles in quasi-metric spaces and the robust trap problem ⋮ Equilibrium versions of set-valued variational principles and their applications to organizational behavior ⋮ Fixed points of set-valued maps in locally complete spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Ha's version of set-valued Ekeland's variational principle
- A vectorial Ekeland's variational principle with a \(w\)-distance and its equivalent theorems
- A Brézis-Browder principle on partially ordered spaces and related ordering theorems
- On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings
- A generalized Ekeland vector variational principle and its applications in optimization
- Relative Pareto minimizers for multiobjective problems: Existence and optimality conditions
- Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
- Ekeland's principle for vector equilibrium problems
- An equilibrium version of vectorial Ekeland variational principle and its applications to equilibrium problems
- Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory
- On some nonlinear problems induced by an abstract maximal element principle
- Vector variational principle
- Existence of solutions for generalized vector equilibrium problems
- A unified approach to the existing three types of variational principles for vector valued functions
- Ekeland's \(\varepsilon\)-variational principle for set-valued mappings
- Vector equilibrium problems with generalized monotone bifunctions
- Variational methods in partially ordered spaces
- Generalized variational principle and vector optimization
- Existence of equilibria via Ekeland's principle
- Some variants of the Ekeland variational principle for a set-valued map
- Caristi type coincidence point theorem in topological spaces
- On the variational principle
- Vector-valued variational principles
- On generalized vector equilibrium problems.
- On variational principles, level sets, well-posedness, and \(\epsilon\)-solutions in vector optimization
- A generalized variational principle and its application to equilibrium problems
- On the vectorial Ekeland's variational principle and minimal points in product spaces
- An existence result for the generalized vector equilibrium problem
- A pre-order principle and set-valued Ekeland variational principle
- The Ekeland variational principle for equilibrium problems revisited and applications
- Ekeland's principle for set-valued vector equilibrium problems
- Vectorial form of Ekeland-type variational principle with applications to vector equilibrium problems and fixed point theory
- An Ekeland's variational principle for set-valued mappings with applications
- Versions of Ekeland's variational principle involving set perturbations
- Vector optimization. Set-valued and variational analysis.
- Equivalents to Ekeland's variational principle in uniform spaces
- Sequentially lower complete spaces and Ekeland's variational principle
- Set-Valued Quasi-Metrics and a General Ekeland's Variational Principle in Vector Optimization
- Ekeland's Variational Principle for Set-Valued Functions
- On Equilibrium Problems
- Vector variational principles for set-valued functions
- A Set-Valued Ekeland's Variational Principle in Vector Optimization
- Nonconvex minimization problems
- Equivalents of Ekeland's principle
- A generalization of ekellandz’s variational principle
- A nonconvex vector minimization problem
- NOTE ON THE RESULTS WITH LOWER SEMI-CONTINUITY
This page was built for publication: An equilibrium version of set-valued Ekeland variational principle and its applications to set-valued vector equilibrium problems
