In this article we extend the Banach contraction principle known in the framework of rectangular metric spaces (θ−contraction) to the more general rectangular M-metric spaces. We also investigate the existence and uniqueness of fixed point for mappings satisfying θ−contraction in rectangular M-metric spaces. Moreover, we provide some examples to highlight the obtained improvements. Finally, as an application, we investigate the existence and uniqueness of a solution of a non-linear integral equation of Fredholm type.
New Fixed Point Theorems in Complete Rectangular M-metric Spaces
Formica, Maria Rosaria;
2024-01-01
Abstract
In this article we extend the Banach contraction principle known in the framework of rectangular metric spaces (θ−contraction) to the more general rectangular M-metric spaces. We also investigate the existence and uniqueness of fixed point for mappings satisfying θ−contraction in rectangular M-metric spaces. Moreover, we provide some examples to highlight the obtained improvements. Finally, as an application, we investigate the existence and uniqueness of a solution of a non-linear integral equation of Fredholm type.File in questo prodotto:
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