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Maximal elements of -majorized mappings in product -spaces and applications (II)

✍ Scribed by Xie Ping Ding

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 275 KB
Volume: 67
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.10.025

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✦ Synopsis

This paper is a continuation of the preceding paper of the author. Four classes of systems of generalized vector quasi-equilibrium problems are introduced and studied in FC-spaces. The notions of C i (x)-FC-quasiconvexity, C i (x)-quasiconvexity and C i (x)quasiconvexity-like for set-valued mappings are introduced in FC-spaces. By applying these notions and the equilibrium existence theorems for generalized games obtained in the author's preceding paper, some new existence theorems of solutions for these systems of generalized vector quasi-equilibrium problems are established in noncompact product FC-spaces. These results improve and generalize some recent results in literature to product FC-spaces without any convexity structure.

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