Systems of Generalized Quasi-variational Inclusions Problems with Applicsations to Variational Analysis and Optimization Problems

摘要

[[abstract]]In this paper, we study an existence theorem of systems of generalizedquasivariational inclusions problem. By this result, we establish the existence theoremsof solutions of systems of generalized equations, systems of generalized vectorquasiequilibrium problem, collective variational fixed point, systems of generalizedquasiloose saddle point, systems of minimax theorem, mathematical program withsystems of variational inclusions constraints, mathematical program with systems ofequilibrium constraints and systems of bilevel problem and semi-infinite problem withsystems of equilibrium problem constraints.