Very recently, Proinov introduced a great family of contractions in the setting complete metric spaces that has attracted attention many researchers because very weak conditions are assumed on involved functions. Inspired by Proinov’s results, this paper, we introduce new class fuzzy (in sense George and Veeramani) able to translate framework best advantages abovementioned auxiliary Accordingly...

Preamble This book written by A. Schumann & F. Smarandache is devoted to advances of non-Archimedean multiple-validity idea and its applications to logical reasoning. Leibnitz was the first who proposed Archimedes' axiom to be rejected. He postulated infinitesimals (infinitely small numbers) of the unit interval [0, 1] which are larger than zero, but smaller than each positive real number. Robi...

Abstract In this paper we present a new approach for the fuzzy quasi-b-metric spaces and obtain some properties of these spaces. A special attention is granted to decomposition theorems into right continuous ascending family quasi-b-metrics. Finally, future lines research are highlighted.

Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$.  In this paper, we intend to offer a novel fuzzy radial basis function by the concept of so...

The authors characterize the notion of quasi coincident in texture spaces and study the generalization of fuzzy quasi separation axioms defined by [12] to the ditopological texture spaces.