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
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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.
Share and Cite
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
Keywords
- \(\mathcal{F}\)-metric space
- relation theoretic contractions
- fixed point
- binary relation
MSC
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