Jñānābha‎, Vol. 49 (1) (2019), 40-49

SOME COUPLED FIXED POINT THEOREMS IN CONVEX METRIC SPACES

Memudu Olaposi Olatinwo

Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria.1

Email:memudu.olatinwo@gmail.com/molaposi@yahoo.com/polatinwo@oauife.edu.ng

(Received : April 01, 2019 ; Revised: May 26, 2019)

Abstract

We establish some coupled .fixed point theorems in convex cone metric spaces for (k, μ)−Lipschitzian and (k, μ, L)−Lipschitzian mappings. We assume that the cone has nonempty interior. Our results generalize and extend several known results in the existing literature.

2010 Mathematics Subject Classifications: 47H10, 47H09.

Keywords and phrases: Coupled fixed point; convex cone metric spaces.

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