Recent Thought of α_{∗}-Geraghty F-contraction with Application

Authors

  • Eskandar Ameer Department of Mathematics, Taiz University, Taiz, Yemen
  • Mustafa Mudhesh
  • Aftab Hussain
  • Muhammad Arshad

Keywords:

Fixed point, b-metric-like space, α_{∗}-Geraghty F-contraction, multivalued mapping

Abstract

In this paper, we use the concept of a generalized α-Geraghty contraction type mapping to introduce the new notion of α_{∗}-Geraghty type F-contraction multivalued mapping and prove some new common fixed point results for such contraction in b-metric-like spaces. Also, we give some examples to illustrate our main results, we also discuss existence a solution for a system of non-linear integral equation.

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Published

2021-12-20

Issue

Vol. 16

Section

Vol. 16, No. 7, (2022)

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