C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems
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Date
2019-08-01
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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.
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Keywords
C^{∗}-algebra, C^{∗}-algebra-valued rectangular b-metric spaces, Contractive mapping