FIXED POINTS OF CONVERSE COMMUTING MAPPINGS USING AN IMPLICIT RELATION

• Journal title : Honam Mathematical Journal
• Volume 35, Issue 2,  2013, pp.109-117
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2013.35.2.109
Title & Authors
FIXED POINTS OF CONVERSE COMMUTING MAPPINGS USING AN IMPLICIT RELATION
Chauhan, Sunny; Khan, M. Alamgir; Sintunavarat, Wutiphol;

Abstract
In the present paper, we utilize the notion of converse commuting mappings due to L$\small{\ddot{u}}$ [On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.
Keywords
t-norm;Menger space;weakly compatible mappings;converse commuting mappings;implicit relation;fixed point;
Language
English
Cited by
1.
Common Fixed Point Theorems for Conversely Commuting Mappings Using Implicit Relations, Journal of Operators, 2013, 2013, 1
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