Some Coupled fixed point theorems in partially ordered \(A_b\)-metric space

Volume 10, Issue 4, pp 1731--1743 http://dx.doi.org/10.22436/jnsa.010.04.35

Publication Date: April 20, 2017 Submission Date: January 03, 2017

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Authors

N. Mlaiki - Department of Mathematical Sciences, Prince Sultan University, Riyadh, Saudi Arabia. Y. Rohen - Department of Mathematics, NIT Manipur, Langol, Imphal, India.

Abstract

In this paper, we use the concept of \(A_b\)-metric space which is obtained by generalizing the definitions of \(A\)-metric space and b-metrc space. Using this concept, we prove some coupled fixed point theorems in partially ordered \(A_b\)-metric space. Examples are also presented to verify the obtained results.

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Keywords

• Common fixed points
• \(A\)-metric space
• b-metric space
• \(A_b\)-metric space.

MSC

•  54H25
•  47H10

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