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