Systems of Generalized Quasivariational Inclusion Problems with Applications in "Equation missing" -Spaces
Ming-Ge Yang, Jiuping Xu, Nan‐jing Huang · Fixed Point Theory and Applications · 2010
Abstract We first prove that the product of a family of "Equation missing"-spaces is also an "Equation missing"-space. Then, by using a Himmelberg type fixed point theorem in "Equation missing"-spaces, we establish existence theorems of solutions for systems of generalized quasivariational inclusion problems, systems of variational equations, and systems of generalized quasiequilibrium problems in "Equation missing"-spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium problems to optimization problems are given in "Equation missing"-spaces.