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

Eskandar Ameer, Mustafa Mudhesh, Aftab Hussain, Muhammad Arshad

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.

Keywords


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

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