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Equivalent forms of a generalized KKM theorem and their applications

✍ Scribed by Mircea Balaj; Lai-Jiu Lin

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 354 KB
Volume: 73
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.03.055

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✦ Synopsis

In this paper, we study various types of variational relation problems. We establish the existence of solutions for these types of problems and point out some important particular cases and their applications. We also show that some existence theorems of solution for these types of problems and some existence theorems of variational inclusion problems are equivalent to a generalized KKM theorem. Applying our results we obtain existence theorems of common fixed point, generalized maximal element theorems, a generalized coincidence theorems and a section theorem.

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