Fixed point theorems for controlled neutrosophic metric-like spaces

AIMS Mathematics

article

Fahim Uddin¹  Umar Ishtiaq²  Naeem Saleem³  Khaleel Ahmad⁴  Fahd Jarad⁵ 

[1] Abdus Salam School of Mathematical Sciences, Government College University;Office of Research, Innovation and Commercialization, University of Management and Technology;Department of Mathematics, University of Management and Technology;Department of Mathematics and Statistics, International Islamic University Islamabad;Department of Mathematics, Cankaya University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: fixed point;    controlled metric space;    metric-like space;    controlled neutrosophic metric-like space;    integral equations;    unique solution;   

DOI  :  10.3934/math.20221135

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY