Stampacchia generalized vector quasi-equilibrium problem with set-valued mapping
Journal of Global Optimization
Existence of solutions of vector variational inequalities and vector complementarity problems
Journal of Global Optimization
On the existence of solutions to quasivariational inclusion problems
Journal of Global Optimization
Generalized multivalued vector variational-like inequalities
Journal of Global Optimization
Equilibrium and least element problems for multivalued functions
Journal of Global Optimization
Lexicographic and sequential equilibrium problems
Journal of Global Optimization
Existence theorems for generalized vector variational inequalities with a variable ordering relation
Journal of Global Optimization
On generalized Ekeland's variational principle and equivalent formulations for set-valued mappings
Journal of Global Optimization
Survey on Vector Complementarity Problems
Journal of Global Optimization
Journal of Global Optimization
Vector network equilibrium problems with elastic demands
Journal of Global Optimization
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To consider existence of solutions to various optimization-related problems, we first develop some equivalent versions of invariant-point theorems. Next, they are employed to derive sufficient conditions for the solution existence for two general models of variational relation and inclusion problems. We also prove the equivalence of these conditions with the above-mentioned invariant-point theorems. In applications, we include consequences of these results to a wide range of particular cases, from relatively general inclusion problems to classical results as Ekeland's variational principle, and practical situations like traffic networks and non-cooperative games, to illustrate application possibilities of our general results. Many examples are provided to explain advantages of the obtained results and also to motivate in detail our problem settings.