Browsing by Author "Chandok, Sumit"

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An original coupled coincidence point result for a pair of mappings without MMP
(Springer International Publishing, 2014) Taş, Kenan; Taş, Kenan; 4971
The purpose of this paper is to establish a coupled coincidence point theorem for a pair of mappings without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate consequence of a well-known theorem in the literature. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend some of the results of Bhaskar and Lakshmikantham (Nonlinear Anal. 65: 1379-1393, 2006), Choudhury, Metiya and Kundu (Ann. Univ. Ferrara 57:1-16, 2011), Harjani, Lopez and Sadarangani (Nonlinear Anal. 74:1749-1760, 2011) and of Luong and Thuan (Bull. Math. Anal. Appl. 2:16-24, 2010) for the mappings having no MMP. We introduce an example that there exists a common coupled fixed point of the mappings g and F such that F does not satisfy the g-mixed monotone property, and also g and F do not commute.
Some fixed point results for T A C -type contractive mappings
(2016) Taş, Kenan; Taş, Kenan; Hojat Ansari, Arslan; 4971
We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results. © 2016 Sumit Chandok et al.
Some fixed point results for TAC-type contractive mappings
(Hindawi Publishing Corporation, 2016) Taş, Kenan; Taş, Kenan; Ansari, Arslan Hojat; 4971
We prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.