Fixed Point Results for Weakly α-Admissible Pairs

Abstract

In this paper, we introduce the concepts of weakly and partially
weakly $\alpha$-admissible pair of mappings and obtain certain
coincidence and fixed point theorems for classes of weakly-$\alpha
$-admissible contractive mappings in b-metric space. As an
application, we derive some new coincidence and common fixed point
theorems for ordered contractions in partially ordered b-metric
spaces and deduce main results in \cite{Nashine, Samet} as
corollaries. Moreover, some examples are provided here to illustrate
the usability of the obtained results.