Special functions and multi-stability of the Jensen type random operator equation in C*-algebras via fixed pointopen access
- Authors
- Rezaei Aderyani, Safoura; Saadati, Reza; Li, Chenkuan; Rassias, Themistocles M.; Park, Choonkil
- Issue Date
- Feb-2023
- Publisher
- SPRINGER
- Keywords
- Multi control functions; Mittag-Leffler function; H-Fox function; Hypergeometric function; Wright function; C*-algebras
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, v.2023, no.1, pp.1 - 24
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Volume
- 2023
- Number
- 1
- Start Page
- 1
- End Page
- 24
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/184895
- DOI
- 10.1186/s13660-023-02942-0
- ISSN
- 1025-5834
- Abstract
- In this paper, we apply some special functions to introduce a new class of control functions that help us define the concept of multi-stability. Further, we investigate the multi-stability of homomorphisms in C*-algebras and Lie C*-algebras, multi-stability of derivations in C*-algebras, and Lie C*-algebras for the following random operator equation via fixed point methods: mu f( eth , x + y/2) + mu f( eth , x-y/2) =f( eth , mu x).In particular, for mu = 1, the above equation turns out to be Jensen's random operator equation.
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