Fixed point for an $ \mathbb{O}g\mathfrak{F} $-c in $ \mathbb{O} $-complete $ \mathfrak{b} $-metric-like spaces
Articles > Article · 2022
Authors: SENTHIL KUMAR PRAKASAM, ARUL JOSEPH GNANAPRAKASAM, Özgür EGE, GUNASEELAN MANI, SALMA HAQUE, NABIL MLAIKI
AIMS Mathematics, Journal Indexed in SCI Expanded, International, WoS, 2022, vol 8, pp 1022-1039
DOI: 10.3934/math.2023050
Summary
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.