Systems of Generalized Quasivariational Inclusion Problems with Applications in L-Spaces

نویسندگان

  • Ming-ge Yang
  • Nan-jing Huang
  • Yeol J. E. Cho
چکیده

We first prove that the product of a family of LΓ-spaces is also an LΓ-space. Then, by using a Himmelberg type fixed point theorem in LΓ-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 LΓ-spaces. Applications of the existence theorem of solutions for systems of generalized quasiequilibrium problems to optimization problems are given in LΓ-spaces.

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تاریخ انتشار 2010