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

Ahmad, Jamshaid ¹ ; Lateef, Durdana ²

¹ Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia
² Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia

Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 3, p. 163-170.

Résumé

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.

Détail

DOI : 10.22436/jnsa.013.03.05

Classification : 54H25, 47H10
Keywords: Fixed point, rational type (\(\alpha \)-\(\Theta \))-contraction, controlled metric spaces

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