- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems
C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems
Authors : G. Kalpana, Z. Sumaiya Tasneem
Pages : 2198-2208
Doi:10.31801/cfsuasmas.598146
View : 7 | Download : 5
Publication Date : 2019-08-01
Article Type : Research
Abstract :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.Keywords : C^{∗}-algebra, C^{∗}-algebra-valued rectangular b-metric spaces, contractive mapping, fixed point theorem