Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition

Abstract

In this article, we utilize the notion of $\Omega$-distance in the sense of Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] to introduce and prove some fixed point results of self-mapping under contraction conditions of the form $\Omega$-Suzuki-contractions.