✦ LIBER ✦

Remarks on generalized quasi-equilibrium problems

✍ Scribed by Ming-Po Chen; Lai-Jiu Lin; Sehie Park

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 117 KB
Volume: 52
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(02)00106-2

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✦ Synopsis

Our main aim in this paper is to obtain fundamental existence theorems of quasi-equilibrium problems and generalized quasi-equilibrium problems of multivalued functions. We use a continuous selection theorem to show that the existence theorems of generalized quasi-equilibrium problems are simple consequences of the corresponding quasi-equilibrium problems. We use a generalization of Himmelberg's theorem due to the third author for not necessary locally convex topological vector spaces to prove the existence theorems of quasi-equilibrium problems for multivalued functions.

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