Original scientific paper

Common fixed point for generalized set valued contractions satisfying an implicit relation in partially ordered metric spaces

Ismat Beg orcid.org/0000-0002-4191-1498 ; Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan
Asma Rashid Butt ; Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan

Abstract

Let $(X,d,⪯)$ be a partially ordered
metric space. Let F, G be two set valued mappings on $X$. We obtained sufficient conditions for the existence of a common fixed point of F, G satisfying an implicit relation in X.

Keywords

fixed point; partially ordered metric space; set valued mapping; implicit relation

Hrčak ID:

53149

URI

https://hrcak.srce.hr/53149

Publication date:

10.6.2010.

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