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HomeJournalsSigma Journal of Engineering and Natural Sciences10.14744/sigma.2023.00085
SJSigma Journal of Engineering and Natural Sciences
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Article Open Access1 January 2023

Fixed point theorem for neutrosophic extended metric-like spaces and their application

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Umar ISHTIAQ

Sigma Journal of Engineering and Natural Sciences 2023, Vol. 41, Issue 4, pp. 750-757; doi.org/10.14744/sigma.2023.00085

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Abstract

In this manuscript, our objective is to introduce the notion of neutrosophic extended met-ric-like spaces. We establish some fixed point theorems in this setting. Neutrosophic extended metric-like spaces metric space uses the idea of continuous triangular norms and continuous triangular conorms in an extended intuitionistic fuzzy metric-like space. Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions. Triangular conorms are known as dual operations of triangular norms. Triangular norms and triangular conorm are very significant for fuzzy operation. The obtained results boost the approaches of existing ones in the literature and are supported by some examples and an application.

Keywords: Fixed Point; Metric Like Space; Extended Metric Like Space; Neutrosophic Metric Space; Integral Equation

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ISHTIAQ, U.; ŞİMŞEK, N.; JAVED, K.; AHMED, K.; UDDIN, F.; KIRIŞÇI, M. Fixed point theorem for neutrosophic extended metric-like spaces and their application. Sigma Journal of Engineering and Natural Sciences 2023, Vol. 41, pp. 750-757. https://doi.org/10.14744/sigma.2023.00085

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Publication History
Published1 January 2023
Versionv1
AccessOpen Access
10.14744/sigma.2023.00085
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