ON COMPACTNESS AND FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

被引：5

作者：

Bugajewski, Dariusz ^{[1
]}

Mackowiak, Piotr ^{[1
]}

Wang, Ruidong ^{[2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Dept Nonlinear Anal & Appl Topol, Ul Uniwersytetu Poznanskiego 4, PL-61614 Poznan, Poland

[2] Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China

来源：

FIXED POINT THEORY | 2022年 / 23卷 / 01期

关键词：

Banach Contraction Principle; compactness; completeness; fixed point theorem; metrizability; partial metric spaces; sequential compactness; CONTRACTION PRINCIPLE;

D O I：

10.24193/fpt-ro.2022.1.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we examine two basic topological properties of partial metric spaces, namely compactness and completeness. Our main result claims that in these spaces compactness is equivalent to sequential compactness. We also show that Hausdorff compact partial metric spaces are metrizable. In the second part of this article we discuss the significance of bottom sets of partial metric spaces in fixed point theorems for mappings acting in these spaces.

引用

页码：146 / 148

页数：3

共 50 条

[1] Certain fixed point theorems on partial metric spaces
Semwal, Pushpendra
Gairola, Asha Ram
Mishra, Lakshmi Narayan
Mishra, Vishnu Narayan
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (48): : 1104 - 1118
[2] Fixed point theorems for operators on partial metric spaces
Karapinar, Erdal
Erhan, Inci M.
APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1894 - 1899
[3] SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES
Gangopadhyay, Mukti
Saha, Mantu
Baisnab, A. P.
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2013, 3 (02): : 206 - 213
[4] Certain fixed point theorems on partial metric spaces
Semwal, Pushpendra
Gairola, Asha Ram
Mishra, Lakshmi Narayan
Mishra, Vishnu Narayan
Italian Journal of Pure and Applied Mathematics, 2022, 48 : 1104 - 1118
[5] FIXED POINT THEOREMS OF FUZZY PARTIAL METRIC SPACES
Tehlan, Aanchal
Kumar, Vijay
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (03): : 888 - 894
[6] Partial Rectangular Metric Spaces and Fixed Point Theorems
Shukla, Satish
SCIENTIFIC WORLD JOURNAL, 2014,
[7] Fuzzy Partial Metric Spaces and Fixed Point Theorems
Aygun, Halis
Guner, Elif
Minana, Juan-Jose
Valero, Oscar
MATHEMATICS, 2022, 10 (17)
[8] Nonunique fixed point theorems in partial metric spaces
Karapinar, Erdal
Romaguera, Salvador
FILOMAT, 2013, 27 (07) : 1305 - 1314
[9] On Banach fixed point theorems for partial metric spaces
Valero, Oscar
APPLIED GENERAL TOPOLOGY, 2005, 6 (02): : 229 - 240
[10] Certain fixed point theorems on partial metric spaces
Semwal, Pushpendra
Gairola, Asha Ram
Mishra, Lakshmi Narayan
Mishra, Vishnu Narayan
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (48): : 1104 - 1118

← 1 2 3 4 5 →