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 $(X,d,\preceq )$ 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
Publication date:
10.6.2010.
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