Vector complementarity and minimal element problems
Journal of Optimization Theory and Applications
Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)
Topological Methods in Complementarity Theory (Nonconvex Optimization and Its Applications)
Mixed quasi complementarity problems in topological vector spaces
Journal of Global Optimization
Generalized vector complementarity-type problems in topological vector spaces
Computers & Mathematics with Applications
Generalized strong vector quasi-equilibrium problem with domination structure
Journal of Global Optimization
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In this paper, we introduce and study a generalized class of vector implicit quasi complementarity problem and the corresponding vector implicit quasi variational inequality problem. By using Fan-KKM theorem, we derive existence of solutions of generalized vector implicit quasi variational inequalities without any monotonicity assumption and establish the equivalence between those problems in Banach spaces.