Common fixed point results of $s$-$\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces
- 16 December 2020
- journal article
- Published by Ptolemy Scientific Research Press in Open Journal of Mathematical Analysis
- Vol. 4 (2), 142-151
- https://doi.org/10.30538/psrp-oma2020.0073
Abstract
The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of \( s-\alpha \) contraction for a pair of maps in the setting of \( b \) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.