Extended Systems of Nonlinear Vector Quasi Variational Inclusions and Extended Systems of Nonlinear Vector Quasi Optimization Problems in Locally FC-spaces

摘要

In this work, we suggest a new extended system of nonlinear vector quasi variational inclusions and extended system of nonlinear vector quasi optimization problems in locally FC-uniform spaces without convexity structure. By using KKM-theorem and Himmelberg fixed point theorem, we prove the some existence theorem of solutions for the systems of nonlinear vector quasi variational inclusion problems.