Safaa, E., Abu-Donia, H., Atia, H. (2023). Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems. Bulletin of Faculty of Science, Zagazig University, 2023(2), 172-179. doi: 10.21608/bfszu.2022.135293.1132
Eman Safaa; Hassan M. Abu-Donia; Hany A. Atia. "Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems". Bulletin of Faculty of Science, Zagazig University, 2023, 2, 2023, 172-179. doi: 10.21608/bfszu.2022.135293.1132
Safaa, E., Abu-Donia, H., Atia, H. (2023). 'Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems', Bulletin of Faculty of Science, Zagazig University, 2023(2), pp. 172-179. doi: 10.21608/bfszu.2022.135293.1132
Safaa, E., Abu-Donia, H., Atia, H. Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems. Bulletin of Faculty of Science, Zagazig University, 2023; 2023(2): 172-179. doi: 10.21608/bfszu.2022.135293.1132
Partial 2-Metric Spaces for Cyclic (ψ,φ,A,B)-Contractions in Fixed Point Theorems
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 .
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