Fixed point for an $ \mathbb{O}g\mathfrak{F} $-c in $ \mathbb{O} $-complete $ \mathfrak{b} $-metric-like spaces

Abstract

In this article, we present the concepts of $ \mathbb{O} $-generalized $ \mathfrak{F} $-contraction of type-$ (1) $, type-$ (2) $ and prove several fixed point theorems for a self mapping in $ \mathfrak{b} $- metric-like space. The proved results generalize and extend some of the well known results in the literature. An example to support our result is presented. As an application of our results, we demonstrate the existence of a unique solution to an integral equation.

Keywords

• o-generalized f-contraction of type-(1) and type-(2)
• fixed point
• o-complete b-metric-like spaces