Dass and Gupta's fixed point theorem in \(\mathcal{F}\)-metric spaces

Volume 12, Issue 6, pp 405--411 http://dx.doi.org/10.22436/jnsa.012.06.06
Publication Date: March 05, 2019 Submission Date: November 23, 2018 Revision Date: December 18, 2018 Accteptance Date: January 14, 2019

Authors

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


Abstract

The purpose of this article is to define Dass and Gupta's contraction in the context of \(\mathcal{F}\)-metric spaces and obtain some new fixed point theorems to elaborate, generalize and synthesize several known results in the literature including Jleli and Samet [M. Jleli, B. Samet, J. Fixed Point Theory Appl., \(\textbf{20}\) (2018), 20 pages] and Dass and Gupta [B. K. Dass, S. Gupta, Indian J. Pure Appl. Math., \(\textbf{6}\) (1975), 1455--1458]. Also we have provided a non trivial example to validate our main result.


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ISRP Style

Durdana Lateef, Jamshaid Ahmad, Dass and Gupta's fixed point theorem in \(\mathcal{F}\)-metric spaces, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 6, 405--411

AMA Style

Lateef Durdana, Ahmad Jamshaid, Dass and Gupta's fixed point theorem in \(\mathcal{F}\)-metric spaces. J. Nonlinear Sci. Appl. (2019); 12(6):405--411

Chicago/Turabian Style

Lateef, Durdana, Ahmad, Jamshaid. "Dass and Gupta's fixed point theorem in \(\mathcal{F}\)-metric spaces." Journal of Nonlinear Sciences and Applications, 12, no. 6 (2019): 405--411


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