CANTOR'S THEOREM IN 2-METRIC SPACES AND ITS APPLICATIONS TO FIXED POINT PROBLEMS

被引：15

作者：

Lahiri, B. K.

Das, Pratulananda ^{[1
]}

Dey, Lakshmi Kanta ^{[2
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

[2] Natl Inst Technol, Dept Math, Durgapur 713209, W Bengal, India

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 01期

关键词：

2-Metric spaces; Open ball; Boundedness; Closure; Cantor's Theorem; Baire's Theorem; Contractive mapping; Fixed point;

D O I：

10.11650/twjm/1500406178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

2-metric space is an interesting nonlinear generalization of metric space which was conceived and studied in details by Gahler. In this paper, for the first time, we establish Cantor's intersection theorem and Baire category theorem in 2-metric spaces. As a departure from normal practice we then apply Cantor's theorem to establish some fixed point theorems in such spaces.

引用

页码：337 / 352

页数：16

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