Some non-unique fixed point or periodic point results in JS-metric spaces

Senapati, Tanusri; Dey, Lakshmi Kanta; Chanda, Ankush; Huang, Huaping

doi:10.1007/s11784-019-0685-z

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2022

2024

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Cited by 4 publications

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“…For this purpose we first recall the outstanding result of Meir-Keeler [14] (see also [10]). This result is also known as a uniform contraction and it has been studied and extended by a number of researchers in many directions (see [16,20]). Now we recall the notion of w-distance introduced by Kada et al [12].…”

Section: Introductionmentioning

confidence: 89%

Extensions of Meir-Keeler Contraction via w-Distances with an Application

BAROOTKOOB¹,

Karapınar²,

LAKZIAN³

et al. 2022

KgJMat

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In this article, we conceive the notion of a generalized (α, ψ, q)-MeirKeeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space via a w-distance. Our obtained result extends and generalizes some of the previously derived fixed point theorems in the literature via w-distances. In addition, to validate the novelty of our findings, we illustrate a couple of constructive numerical examples. Moreover, as an application, we employ the achieved result to earn the existence criteria of the solution of a kind of non-linear Fredholm integral equation.

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