New existence criteria of the solutions for a variational relation problem

DOI10.1080/02331934.2017.1296836zbMath1374.47075OpenAlexW2601822511MaRDI QIDQ5277960

Mircea Balaj

Publication date: 12 July 2017

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2017.1296836

zbMATH Keywords

existence of solutionsfixed point theoremvector problemequilibrium type problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10)

Related Items (3)

Directional variational principles and applications to the existence study in optimization ⋮ General theorems of the Knaster-Kuratowski- Mazurkiewicz type and applications to the existence study in optimization ⋮ Common fixed point theorems for set-valued mappings in normed spaces

Cites Work

• Unnamed Item
• Quasimonotone quasivariational inequalities: existence results and applications
• An existence result for quasiequilibrium problems in separable Banach spaces
• On vector quasi-equilibrium problems with set-valued maps
• Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions
• Generalized variational relation problems with applications
• Existence and stability of solutions for maximal element theorem on Hadamard manifolds with applications
• Invariant-point theorems and existence of solutions to optimization-related problems
• Continuous selections. I
• Existence of maximal elements and equilibria in linear topological spaces
• Existence of solutions for generalized vector quasi-equilibrium problems
• Existence of solutions in variational relation problems without convexity
• An abstract problem in variational analysis
• Existence theorems of quasivariational inclusion problems with applications to bilevel problems and mathematical programs with equilibrium constraint
• Generalizations of vector quasivariational inclusion problems with set-valued maps
• Variational inequalities and complementarity problems
• Minimax and fixed point theorems
• Generalized vector quasi-equilibrium problems.
• Existence of solutions to implicit vector variational inequalities
• Generalized Knaster-Kuratowski-Mazurkiewicz theorem without convex hull
• On the existence of solutions of quasivariational inclusion problems
• Remarks on generalized quasi-equilibrium problems
• Existence of solutions for lower semicontinuous quasi-equilibrium problems
• A unifying approach to variational relation problems
• Strong vector equilibrium problems
• Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
• On the solution existence of generalized quasivariational inequalities with discontinuous multi\-functions
• Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
• Convergence of convex sets and of solutions of variational inequalities
• Existence Theorems for a Variational Relation Problem
• Topologically-based characterizations of the existence of solutions of optimization-related problems
• Fixed points, maximal elements and equilibria of generalized games

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