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
收藏
页码：2198 / 2208
页数：11
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