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Sur un problème parabolique-elliptique

Philippe Benilan, Petra Wittbold (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like ( v - 1 ) t + = v x x + F ( v ) x where the function F : is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.

Suzuki type fuzzy 𝒵 -contractive mappings and fixed points in fuzzy metric spaces

Dhananjay Gopal, Juan Martínez-Moreno (2021)

Kybernetika

In this paper, we propose the concept of Suzuki type fuzzy 𝒵 -contractive mappings, which is a generalization of Fuzzy 𝒵 -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples...

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