Continuous controlled cone metric-type spaces over real Banach algebras and fixed-point resultsopen access
- Authors
- Ullah, Wahid; Isik, Huseyin; Alam, Nouman; Park, Choonkil; Lee, Jung Rye
- Issue Date
- May-2022
- Publisher
- SPRINGER
- Keywords
- Controlled metric-type space; Cone metric space over Banach algebra; Fixed point; Reich-type contraction
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2022, no.1, pp.1 - 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2022
- Number
- 1
- Start Page
- 1
- End Page
- 19
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/138630
- DOI
- 10.1186/s13660-022-02789-x
- ISSN
- 1025-5834
- Abstract
- In this article, we introduce a new geometrical structure that is the hybrid of a cone metric space over Banach algebra and a controlled metric-type space. We introduce a new metric space and prove analogs of Banach-, Kannan- and Reich-type fixed-point theorems. We also furnish various concrete examples to establish the validity of our results. The obtained results generalize many well-known results in the literature.
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