On various types of cone metric spaces and some applications in fixed point theory

	On various types of cone metric spaces and some applications in fixed point theory
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 14، شماره 1، فروردین 2023، صفحه 163-184 اصل مقاله (464.09 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24310.2715
نویسنده
Sahar Mohamed Ali Abou Bakr^*
Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt
چکیده
This paper gives a study of various types of cone metric spaces and their topological characterizations. Contrarily to the case of cone metric space $X$, the paper shows with examples that the limit of a sequence may not be unique in the topology generated by partial cone metric $T_{p}$ and $(X, T_{p})$ is not generally Hausdorff topological space and also the cone valued partial metric mapping $p$ may not generally be continuous. Hence $T_{p}$ is not equivalent to any topology generated by any metric on $X$. Furthermore, the paper considers some generalized contraction types of mappings on $\theta$-complete cone metric-like spaces and then generalizes some coupled fixed point theorems of some previous results in this setting.
کلیدواژه‌ها
Partial Metric Spaces؛ Cone Metric Like Spaces؛ Cone Metric Spaces؛ Partial Cone Metric Space؛ coupled Fixed Point Theorems
آمار تعداد مشاهده مقاله: 18,130 تعداد دریافت فایل اصل مقاله: 12,901

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