Relation theoretic contraction results in \(\mathcal{F}\)-metric spaces

Volume 12, Issue 5, pp 337--344 http://dx.doi.org/10.22436/jnsa.012.05.06
Publication Date: January 11, 2019 Submission Date: October 25, 2018 Revision Date: November 12, 2018 Accteptance Date: November 30, 2018

Authors

Laila A. Alnaser - Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia. Durdana Lateef - Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia. Hoda A. Fouad - Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawara, 41411, Kingdom of Saudi Arabia. - Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt. Jamshaid Ahmad - Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.


Abstract

Jleli and Samet in [M. Jleli, B. Samet, J. Fixed Point Theory Appl., \(\textbf{20}\) (2018), 20 pages] introduced a new metric space named as \(\mathcal{F}\)-metric space. They presented a new version of the Banach contraction principle in the context of this generalized metric spaces. The aim of this article is to define relation theoretic contraction and prove some generalized fixed point theorems in \(\mathcal{F}\)-metric spaces. Our results extend, generalize, and unify several known results in the literature.


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ISRP Style

Laila A. Alnaser, Durdana Lateef, Hoda A. Fouad, Jamshaid Ahmad, Relation theoretic contraction results in \(\mathcal{F}\)-metric spaces, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 5, 337--344

AMA Style

Alnaser Laila A., Lateef Durdana, Fouad Hoda A., Ahmad Jamshaid, Relation theoretic contraction results in \(\mathcal{F}\)-metric spaces. J. Nonlinear Sci. Appl. (2019); 12(5):337--344

Chicago/Turabian Style

Alnaser, Laila A., Lateef, Durdana, Fouad, Hoda A., Ahmad, Jamshaid. "Relation theoretic contraction results in \(\mathcal{F}\)-metric spaces." Journal of Nonlinear Sciences and Applications, 12, no. 5 (2019): 337--344


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