On orthogonal fuzzy b-metric-like spaces and their fixed point application
1Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54000, Pakistan
2Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan
3Institut Superieur d'Informatique et des Techniques de Communication, Universite de Sousse, 4000, Tunisia; China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
4Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
2Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan
3Institut Superieur d'Informatique et des Techniques de Communication, Universite de Sousse, 4000, Tunisia; China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
4Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Sigma J Eng Nat Sci 2023; 41(5): 916-925 DOI: 10.14744/sigma.2023.00111
Abstract
This manuscript aims to introduce the concept of orthogonal fuzzy b-metric-like spaces and discuss some fixed point results. A non-trivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the obtained results, we provide an application to fractional differential equations.
Keywords: Orthogonal b-metric-like Space; Fuzzy B-Metric-Like Space; Fractional Differential Equation
