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GENERIC STABILITY AND EXISTENCE OF ESSENTIAL COMPONENTS OF THE SOLUTION SET FOR THE SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS 被引量:1
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作者 Lin Zhi Yu Jian 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第4期497-504,共8页
By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established. Further, by proving the existence and connectivity of minimal essential set the existence re... By using Fort theorem the generic stability result for the system of generalized vector equilibrium problems is established. Further, by proving the existence and connectivity of minimal essential set the existence result of essential components in the solution set is derived. 展开更多
关键词 system of generalized vector equilibrium problems C-convex c-continuous essential component.
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New Results on System of Generalized Quasi-Ky Fan Inequalities with Set-Valued Mappings in Topological Semilattice Spaces
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作者 NGUYEN The Vinh PHAM Thi Hoai 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2016年第6期1585-1595,共11页
Under new assumptions,this paper obtains some extended versions of Ky Fan type inequality for a family of C-continuous set-valued mappings in the setting of topological semilattices.The obtained results are new and di... Under new assumptions,this paper obtains some extended versions of Ky Fan type inequality for a family of C-continuous set-valued mappings in the setting of topological semilattices.The obtained results are new and different from the corresponding known results in the literature.Some special cases of the main result are also discussed.Some examples are given to illustrate the results. 展开更多
关键词 C△-quasiconvex (quasiconcave) Fan-Browder fixed point theorem set-valued Ky Faninequality topological semilattice upper (lower) c-continuous.
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