Author:
Asim Mohammad,Uddin Izhar,Imdad Mohammad
Abstract
Abstract
In this paper, we introduce the concept of $M_{\nu}$
M
ν
-metric as a generalization of M-metric and ν-generalized metric and also prove an analogue of Banach contraction principle in an $M_{\nu}$
M
ν
-metric space. Also, we adopt an example to highlight the utility of our main result which extends and improves the corresponding relevant results of the existing literature. Finally, we use our main result to examine the existence and uniqueness of solution for a Fredholm integral equation.
Funder
University Grants Commission
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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