A new extension of CJ metric spaces-partially controlled J metric spaces
Document Type
Article
Publication Date
7-1-2023
Abstract
This article introduces the concept of partially controlled J metric spaces; in particular, the J metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., ``Riemann-Liouville derivatives''.
Keywords
CJ metric spaces, Partially controlled J metric spaces, Fixed point, Fractional differential equations
Divisions
MathematicalSciences
Funders
None
Publication Title
Mathematics
Volume
11
Issue
13
Publisher
MDPI
Publisher Location
ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND
COinS