Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume 2023, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13660-023-02942-0
Keywords
Multi control functions; Mittag-Leffler function; H-Fox function; Hypergeometric function; Wright function; C*-algebras
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In this paper, new control functions are defined using special functions, introducing the concept of multi-stability. The multi-stability of homomorphisms in C*-algebras and Lie C*-algebras, as well as the multi-stability of derivations in C*-algebras, are investigated. The random operator equation is analyzed using fixed point methods, with a particular focus on Jensen's random operator equation when mu=1.
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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