An Extended Coupled Coincidence Point Theorem

Esra Yolacan¹, Mehmet Kir^2, and Hukmi Kiziltunc³

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

Cite this paper:
Esra Yolacan, Mehmet Kir and 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

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.

Keywords:
coupled coincidence point generalized compatibility ordered set

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References:

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