Some generalized fixed point results via a $ \tau $-distance and applications

Abstract

<abstract><p>The aim of this manuscript is to present some new fixed point results in complete partially order metric spaces and to derive some extended forms of Suzuki and Banach fixed point theorems via a $ \tau $-distance by applying some new control functions. Our results are extensions of several existing fixed point theorems in the literature. To show the dominance of the established results, some examples and an application are studied.</p></abstract>