Fixed point theorems for rational type (\(\alpha \)-\(\Theta \))-contractions in controlled metric spaces

Volume 13, Issue 3, pp 163--170 http://dx.doi.org/10.22436/jnsa.013.03.05

Publication Date: December 10, 2019 Submission Date: April 17, 2019 Revision Date: May 18, 2019 Accteptance Date: July 02, 2019

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Authors

Jamshaid Ahmad - Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia. Durdana Lateef - Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia.

Abstract

This paper aims to define rational type (\(\alpha \)-\(\Theta \))-contraction in controlled metric space and obtain some advanced fixed point theorems. The outcomes generalize and extend various famous results in the literature. An example and certain consequences are presented to illustrate the significance of established results.

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Keywords

• Fixed point
• rational type (\(\alpha \)-\(\Theta \))-contraction
• controlled metric spaces

MSC

•  54H25
•  47H10

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