GENERALIZED CONTRACTIONS AND FIXED POINT THEOREMS OVER BIPOLAR CONEtvs b-METRIC SPACES WITH AN APPLICATION TO HOMOTOPY THEORY

被引：0

作者：

Roy, Kushal ^{[1
]}

Saha, Mantu ^{[1
]}

机构：

[1] Univ Burdwan, Dept Math, Purba Bardhaman 713104, W Bengal, India

来源：

MATEMATICKI VESNIK | 2020年 / 72卷 / 04期

关键词：

Fixed point; bipolar cone(tvs) b-metric space; covariant and contravariant mappings; contravariant A-contraction mappings; homotopic mappings; MAPPINGS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the concept of bipolar cone(tvs) b-metric space and prove some generalized fixed point theorems on it. These theorems extend and generalize some recent results obtained by other authors for mappings on a bipolar metric space. Also, a brief study on topological properties of this newly introduced space has been made and in support of our theorems, we give some examples. Moreover, our fixed point result is applied to homotopy theory on such spaces.

引用

页码：281 / 296

页数：16

共 16 条

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