C*-ALGEBRA-VALUED RECTANGULAR b-METRIC SPACES AND SOME FIXED POINT THEOREMS

被引：1

作者：

Kalpana, G. ^{[1
]}

Tasneem, Z. Sumaiya ^{[1
]}

机构：

[1] SSN Coll Engn, Dept Math, Chennai 603110, Tamil Nadu, India

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 02期

关键词：

C*-algebra; C*-algebra-valued rectangular b-metric spaces; contractive mapping; fixed point theorem;

D O I：

10.31801/cfsuasmas.598146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of C*-algebra-valued rectangular b-metric spaces is introduced as a generalization of C*-algebra-valued b-metric spaces. An analogue of Banach contraction principle and Kannan's fixed point theorem is proved in this space. As applications, existence and uniqueness results for a type of operator equation is given.

引用

页码：2198 / 2208

页数：11

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