New systems of generalized vector quasi-equilibrium problems in product FC-spaces

作者：Ding Xie Ping^*

来源：Journal of Global Optimization, 2010, 46(1): 133-146.

DOI：10.1007/s10898-009-9413-3

• Maximal element
• System of generalized vector quasi-equilibrium problems
• FC-hull
• C(i)(x)-FC-diagonally quasiconvex
• C(i)(x)-FC-quasiconvex
• C(i)(x)-FC-quasiconvex-like
• FC-spaces

The notions of C (i) (x)-FC-diagonally quasiconvex, C (i) (x)-FC-quasiconvex and C (i) (x)-FC-quasiconvex-like for set-valued mappings are introduced in FC-spaces without convexity structure. By applying these notions and a maximal element theorem for a family of set-valued mappings on product FC-space due to author, some new existence theorems of solutions for four new classes of systems of generalized vector quasi-equilibrium problems are proved in noncompact FC-spaces. These results improve and generalize some recent known results in literature to noncompact FC-spaces.

• 出版日期2010-1
• 单位四川师范大学