On \({\mathbb{BID}}\)-Cone b -Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems

Huaping Huang, Wei-Shih Du and Jen-Yuan Chen
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Huaping Huang: School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Wei-Shih Du: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
Jen-Yuan Chen: Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan

Mathematics, 2022, vol. 10, issue 9, 1-13

Abstract: In this paper, we introduce the concepts of an inferior idempotent cone and a BID -cone b -metric space over Banach algebra. We establish some new existence theorems and fixed point theorems in the setting of complete BID -cone b -metric spaces over Banach algebra. Some fundamental questions and examples are also given.

Keywords: \({\mathbb{BID}}\)-cone b -metric space over Banach algebra; inferior idempotent cone; c -sequence; ? -sequence; \({\mathbb{BID}}\)-cone b -Cauchy sequence; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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