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Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces

S Sowndrara jan, M. Jeyaraman, Florentín Smarandache

2020UNM’s Digital Repository (University of New Mexico)16 citationsDOIOpen Access PDF

Abstract

In this article, we present fixed and common fixed point results for Banach and Edelstein contraction<br> theorems in neutrosophic metric spaces. Then some properties and examples are given for neutrosophic metric<br> spaces. Thus, we added a new path in neutrosophic theory to obtain fixed point results. we investigate and<br> prove some contraction theorems that are extended to neutrosophic metric space with the assistance of Grabiec.<br>

Topics & Concepts

Metric spaceMathematicsContraction (grammar)Fixed-point theoremContraction principlePure mathematicsFixed pointBanach spaceMetric mapDiscrete mathematicsInjective metric spaceMathematical analysisLinguisticsPhilosophyFixed Point Theorems Analysis