Abstract

In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of this paper generalize several known theorems in the recent literature.

Highlights

  • Introduction and PreliminariesRoughly speaking, a quasi-metric is a distance function that is not symmetry but satisfies both the triangle inequality and self-distance property

  • The notion of quasi-metric was first introduced by Wilson in 1930s [1]. This is a subject of intensive research in the setting of topology [2,3,4] and functional analysis, and several qualitative sciences, such as theoretical computer science [5,6,7,8], biology [9], and many other qualitative disciplines

  • We will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces

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Summary

Introduction

Introduction and PreliminariesRoughly speaking, a quasi-metric is a distance function that is not symmetry but satisfies both the triangle inequality and self-distance property. We will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces.

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