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

Author

Listed:
  • Huaping Huang

    (School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
    These authors contributed equally to this work.)

  • Wei-Shih Du

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
    These authors contributed equally to this work.)

  • Jen-Yuan Chen

    (Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Huaping Huang & Wei-Shih Du & Jen-Yuan Chen, 2022. "On \({\mathbb{BID}}\)-Cone b -Metric Spaces over Banach Algebras: New Topological Properties and Fixed Point Theorems," Mathematics, MDPI, vol. 10(9), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1425-:d:800409
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