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Browsing by Author "Lakzian, Hosein"

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    Extensions of Meir-Keeler Contraction Via W-Distances With an Application
    (Univ Kragujevac, Fac Science, 2022) Karapinar, Erdal; Lakzian, Hosein; Chanda, Ankush; Barootkoob, Sedigheh
    In this article, we conceive the notion of a generalized (alpha, psi, q)-Meir-Keeler 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.