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
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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.
Share and Cite
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
Keywords
- \(\mathcal{F}\)-metric space
- fixed point
- rational contraction
MSC
References
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