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

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  • Abdelkarim Kari
  • Mohamed Rossafi
  • El Miloudi Marhrani
  • Mohamed Aamri

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.

Suggested Citation

  • Abdelkarim Kari & Mohamed Rossafi & El Miloudi Marhrani & Mohamed Aamri, 2020. "New Fixed Point Theorems for - Contraction on Rectangular - Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-12, October.
  • Handle: RePEc:hin:jnlaaa:8833214
    DOI: 10.1155/2020/8833214
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