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Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type.

Authors :
Sintunavarat, Wutiphol
Kumam, Poom
Source :
Journal of Inequalities & Applications. Dec2011, Vol. 2011 Issue 1, p1-12. 12p.
Publication Year :
2011

Abstract

In this article, we define a tangential property which can be used not only for single-valued 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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2011
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
71791175
Full Text :
https://doi.org/10.1186/1029-242X-2011-3