Fixed point theorems for \(\Theta\)-contractions in left \(K\)-complete \(T_{1}\)-quasi metric space

Volume 12, Issue 10, pp 667--674 http://dx.doi.org/10.22436/jnsa.012.10.05
Publication Date: June 14, 2019 Submission Date: January 01, 2019 Revision Date: April 03, 2019 Accteptance Date: April 30, 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 aim of this paper is to define \(\Theta _{\beta }^{u}=\left \{ v\in \mathcal{J}u:\Theta (\varrho (u,v))\leq \lbrack \Theta (\varrho (u,\mathcal{J}u))]^{\beta }\right \} \) and establish some new fixed point theorems in the setting of left \(K\)-complete \(T_{1}\)-quasi metric space. Our theorems generalize, extend, and unify several results of literature.


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ISRP Style

Durdana Lateef, Jamshaid Ahmad, Fixed point theorems for \(\Theta\)-contractions in left \(K\)-complete \(T_{1}\)-quasi metric space, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 10, 667--674

AMA Style

Lateef Durdana, Ahmad Jamshaid, Fixed point theorems for \(\Theta\)-contractions in left \(K\)-complete \(T_{1}\)-quasi metric space. J. Nonlinear Sci. Appl. (2019); 12(10):667--674

Chicago/Turabian Style

Lateef, Durdana, Ahmad, Jamshaid. "Fixed point theorems for \(\Theta\)-contractions in left \(K\)-complete \(T_{1}\)-quasi metric space." Journal of Nonlinear Sciences and Applications, 12, no. 10 (2019): 667--674


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