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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 | ||
| تاریخ دریافت: 30 تیر 1400، تاریخ بازنگری: 30 مرداد 1400، تاریخ پذیرش: 10 شهریور 1400 | ||
| 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 | ||
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