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Continuous selection theorem, coincidence theorem, and generalized equilibrium in L-convex spaces

✍ Scribed by Xie Ping Ding; J.Y. Park

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 550 KB
Volume: 44
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(02)00132-3

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✦ Synopsis

In this paper, a new continuous selection theorem is first proved in L-convex spaces without linear structure. By using the continuous selection theorem, some new coincidence theorems, fixed-point theorems, and minimax inequality are proved in L-convex spaces. As applications, some new existence theorems of solutions for generalized equilibrium problems are obtained in L-convex spaces. These theorems improve and generalize some known results in recent literature.

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