New Fixed Point Theorems for - Contraction on Rectangular - Metric Spaces

Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani and Mohamed Aamri

Abstract and Applied Analysis, 2020, vol. 2020, 1-12

Abstract:

The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of - contraction in metric spaces, introduced by Zheng et al., we present the notion of - contraction in - rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:8833214

DOI: 10.1155/2020/8833214

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