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Collective fixed points and a system of coincidence theorems in product -spaces and applications

✍ Scribed by Xie Ping Ding

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 237 KB
Volume: 66
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.03.043

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✦ Synopsis

By using a continuous selection theorem, some new collective fixed point theorems and coincidence theorems for the families of set-valued mappings defined on the product space of noncompact FC-spaces are proved under very weak assumptions. As applications, some nonempty intersection theorems, inclusion theorems and existence theorems of solutions for systems of inequalities are established in the product space of noncompact FC-spaces. These results generalize many known results from the recent literature.

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