C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems

No Thumbnail Available

Date

2019-08-01

Journal Title

Journal ISSN

Volume Title

Publisher

Ankara Üniversitesi Fen Fakültesi

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.

Description

Keywords

C^{∗}-algebra, C^{∗}-algebra-valued rectangular b-metric spaces, Contractive mapping

Citation