Fixed point theorems for controlled neutrosophic metric-like spaces-Reference-Cited by-同舟云学术

Fixed point theorems for controlled neutrosophic metric-like spaces

Published:2022 Issue:12 Volume:7 Page:20711-20739
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Uddin Fahim¹,Ishtiaq Umar²,Saleem Naeem³,Ahmad Khaleel⁴,Jarad Fahd⁵⁶

Affiliation:

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan

2. Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan

3. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

4. Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan

5. Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey

6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

<abstract> <p>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.</p> </abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference39 articles.

1. L. A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338–353. https://doi.org/10.1016/S0019-9958(65)90241-X

2. D. Dey, M. Saha, An extension of banach fixed point theorem in fuzzy metric space, Bol. Soc. Paran. Mat., 32 (2014), 299–304. https://doi.org/10.5269/bspm.v32i1.17260

3. S. Nadaban, Fuzzy b-metric spaces, Int. J. Comput. Commun. Control, 11 (2016), 273–281. https://doi.org/10.15837/ijccc.2016.2.2443

4. B. Schweizer, A. Sklar, Statistical metric spaces, Pacific. J. Math., 10 (1960), 314–334. https://doi.org/10.2140/PJM.1960.10.313

5. V. Gregory, A. Sapena, On fixed point theorems in fuzzy metric spaces, Fuzzy Set. Syst., 125 (2002), 245–253. https://doi.org/10.1016/S0165-0114(00)00088-9

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces;Journal of Advances in Applied & Computational Mathematics;2024-08-14

2. Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application;Axioms;2023-09-30