Karapinar, ErdalLakzian, HoseinChanda, AnkushBarootkoob, Sedigheh2024-03-212025-09-182024-03-212025-09-182022Barootkoob, Sedigheh;...et.al. (2022). "Extensions of Meir-Keeler Contraction via w-Distances with an Application", Kragujevac Journal of Mathematics, Vol.46, No.4, pp.533-547.1450-96282406-3045https://doi.org/10.46793/KgJMat2204.533Bhttps://hdl.handle.net/20.500.12416/13872Lakzian, Hossein/0000-0003-3936-8796In 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.eninfo:eu-repo/semantics/openAccessW-DistanceAlpha-Orbital Admissible MapWeaker Meir-Keeler FunctionFredholm Integral EquationArticle10.46793/KgJMat2204.533B2-s2.0-85126002797