Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems | ||
| Bulletin of Faculty of Science, Zagazig University | ||
| Article 17, Volume 2023, Issue 2, June 2023, Pages 172-179 PDF (1.34 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/bfszu.2022.135293.1132 | ||
| Authors | ||
| Eman Safaa* 1; Hassan M. Abu-Donia2; Hany A. Atia2 | ||
| 1Department of Maths, Faculty of science , Zagazig University | ||
| 2Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt | ||
| Abstract | ||
| There are a lot of generalizations of the concept of metric space . In this paper we using some fixed point theorems in partial 2- metric spaces and given an examples in it . And We propose the idea of Cyclic (ψ,φ,A,B)- Contraction in partial 2- metric spaces and investigate fixed point theorems for mappings meeting cyclical generalised contractive requirements in full partial 2-metric spaces in this research . The goal of this paper is to present some fixed point theorems for a mapping meeting a cyclical generalised contractive condition in partial 2- metric spaces based on a pair of altering distance functions . We establish that these mappings necessarily have unique fixed points in complete 2- metric spaces . Fixed point theorems for some contractions from this class are introduced and illustrative examples are given . Our results in that paper also generalises an existing result in 2- metric spaces . | ||
| Keywords | ||
| 2-metric spaces; best proximity; fixed point; contractive conditions; cyclic map | ||
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