Gregus type fixed points for a tangential multivalued mappings satisfying contractive conditions of integral type

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: SpringerOpen

Publication year: 2011

Journal: Journal of Inequalities and Applications (1025-5834)

Volume number: 2011

ISSN: 1025-5834

eISSN: 1029-242X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-80051790256&doi=10.1186%2f1029-242X-2011-3&partnerID=40&md5=173022c3fa066f8420732258930ae786

Languages: English-Great Britain (EN-GB)

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Abstract

In this article, we define a tangential property which can be used not only for singlevalued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theorems of Gregus type for four mappings satisfying a strict general contractive condition of integral type in metric spaces. Our theorems generalize and unify main results of Pathak and Shahzad (Bull. Belg. Math. Soc. Simon Stevin 16, 277-288, 2009) and several known fixed point results. ฉ 2011 Sintunavarat and Kumam; licensee Springer.

Keywords

Common property (E.A), Pair-wise tangential property, Weak tangle point