Some fixed point theorems of self-generalized contractions in partially ordered G-metric spaces

Volume 17, Issue 2, pp 317-324 http://dx.doi.org/10.22436/jmcs.017.02.14

Publication Date: June 15, 2017 Submission Date: March 12, 2016

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Authors

Muhammad Akram - Department of Mathematics, Lock Haven University, Lock Haven, PA, USA. Yasira Mazhar - Department of Mathematics, Govt. College University, Lahore, Pakistan.

Abstract

The objective of this paper is to prove some fixed point results for self-mappings in partially ordered G-metric spaces using generalized contractive conditions. Our results are the extensions of the results presented in Agarwal et al. [R. P. Agarwal, M. A. El-Gebeily, D. O’Regan, Appl. Anal., 87 (2008), 109–116] form ordered metric spaces to partially ordered G-metric spaces. The usefulness of the results is also illustrated by an example.

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Keywords

• G-metric
• partially ordered spaces
• generalized contractions
• fixed points.

MSC

•  47H10
•  54H25

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