Author/Authors :
KIR, Mehmet Şırnak University - Faculty of Engineering - Department of Civil Engineering, Turkey , KIZILTUNÇ, Hukmi Atatürk University - Faculty of Arts and Science - Department of Mathematics, Turkey
Title Of Article :
AN EXTENDED COUPLED COINCIDENCE POINT THEOREM AND RELATED RESULTS
Abstract :
In this paper, we give an extended coupled coincidence point theorem for a mixed 𝑔−monotone mapping 𝐹:𝑋→𝑋 satisfying a weaker contractive condition. As a result of this theorem, we introduce an extended coupled fixed point theorem. We also explain that there exist a relationship between Theorem 2.1 which is our main theorem and Theorem 1.3 introduced by Choudhury et. al. [ Choudhury, BS, Kundu, A: Appl. Math. Lett. 25,6-10(2012) ].
NaturalLanguageKeyword :
Fixed point , coupled coincidence point , coupled fixed point , Partially ordered set.
JournalTitle :
Sigma Journal Of Engineering and Natural Sciences
