Irremissible Stimulate on 'unified Fixed Point Theorems in Fuzzy Metric Spaces Via Common Limit Range Property'

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2014

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Springeropen

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GOLD

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Abstract

One of the goals of this short note is to alert researchers as regards some mistakes that appeared in a recent paper (Chauhan, Khan and Kumar in J. Inequal. Appl. 2013: 182, 2013). This entails main proofs based on a false result, which invalidates all statements. We also give a complete revision of the antecedents of this work in order to find the main reasons of the mistakes. Finally, the main aim of this note is to propose a correct, more general version of the main theorems in the paper mentioned.

Description

KARAPINAR, ERDAL/0000-0002-6798-3254; Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; Kumam, Poom/0000-0002-5463-4581

Keywords

fuzzy metric space, triangular norm, continuous t-norm, Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis, Fuzzy topology, triangular norm, Fixed-point and coincidence theorems (topological aspects), continuous \(t\)-norm, fuzzy metric space, Special maps on metric spaces

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0101 mathematics, 01 natural sciences

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Journal of Inequalities and Applications

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2014

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