ISSN: 1304-7191 | E-ISSN: 1304-7205
Fixed point theorem for neutrosophic extended metric-like spaces and their application
1Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, 54770, Pakistan
2Department of Mathematics, İstanbul Commerce University, Istanbul, 34445, Türkiye
3Department of Mathematics & Statistics, International Islamic University, H-10, Islamabad 44000, Pakistan
4Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
5Department of Biostatistics, İstanbul University-Cerrahpaşa, Istanbul, 34098, Türkiye
Sigma J Eng Nat Sci 2023; 41(4): 750-757 DOI: 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.