Open AccessCommon fixed point results of $s$-$\alpha $ contraction for a pair of maps in $b$-dislocated metric spaces
Author(s) -
Abdissa Fekadu,
Kidane Koyas,
Solomon Gebregiorgis
Publication year - 2020
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2020.0073
Subject(s) - uniqueness , metric space , mathematics , contraction (grammar) , fixed point , contraction mapping , fixed point theorem , pure mathematics , discrete mathematics , mathematical analysis , medicine
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.