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Bhaskar, TG, Lakshmikantham, V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379-1393 (2006).

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Article

An Extended Coupled Coincidence Point Theorem

1Republic of Turkey Ministry of National Education, Mathematics Teacher, 60000 Tokat, Turkey

2Department of Civil Engineering, Faculty of Engineering, Şırnak University, 73000, Turkey

3Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 1, 23-30
DOI: 10.12691/tjant-4-1-5
Copyright © 2016 Science and Education Publishing

Cite this paper:
Esra Yolacan, Mehmet Kir, Hukmi Kiziltunc. An Extended Coupled Coincidence Point Theorem. Turkish Journal of Analysis and Number Theory. 2016; 4(1):23-30. doi: 10.12691/tjant-4-1-5.

Correspondence to: Mehmet  Kir, Department of Civil Engineering, Faculty of Engineering, Şırnak University, 73000, Turkey. Email: mehmetkir@sirnak.edu.tr

Abstract

In this paper, we prove some coupled coincidence point theorem for a pair {F,G} of mappings F,G:C2→C without mixed G-monotone property of F. Our results improve and generalize results given by Karapinar et al. (Arab J Math (2012) 1: 329-339) and Jachymski (Nonlinear Anal. 74, 768-774 (2011)). The theoretic results are also accompanied with suitable example.

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