Fixed point theorems for controlled neutrosophic metric-like spaces

In this paper, we establish the concept of controlled neutrosophic metric-like spaces as a generalization of neutrosophic metric spaces and provide several non-trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results f...

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Bibliographic Details
Main Authors: Fahim Uddin, Umar Ishtiaq, Naeem Saleem, Khaleel Ahmad, Fahd Jarad
Format: Article
Language:English
Published: AIMS Press 2022-09-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221135?viewType=HTML
Description
Summary:In this paper, we establish the concept of controlled neutrosophic metric-like spaces as a generalization of neutrosophic metric spaces and provide several non-trivial examples to show the spuriousness of the new concept in the existing literature. Furthermore, we prove several fixed point results for contraction mappings and provide the examples with their graphs to show the validity of the results. At the end of the manuscript, we establish an application to integral equations, in which we use the main result to find the solution of the integral equation.
ISSN:2473-6988