AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE  -FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS*

doi:10.1007/s10473-024-0117-z

Acta mathematica scientia,Series B ›› 2024, Vol. 44 ›› Issue (1): 311-338.doi: 10.1007/s10473-024-0117-z

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AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE -FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS^*

Safoura Rezaei Aderyani¹, Azam Ahadi¹, Reza Saadati^1,†, Hari M. Srivastava^2,3,4,5

1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran;
2. Department of Mathematics and Statistics, Universtity of Victoria, Canada;
3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, China;
4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan;
5. Section of Mathematics, International Telematic, University Uninettuno, I-00186 Rome, Italy

Received:2022-08-04 Revised:2023-03-17 Online:2024-02-25 Published:2024-02-27
Contact: † Reza Saadati1, E-mail: rsaadati@eml.cc
About author:Safoura Rezaei Aderyani, E-mail: safora.rezaei.2000@gmail.com; Azam Ahadi, azamahadi9710@gmail.com; Hari M. Srivastava, E-mail: harimsri@math.uvic.ca
Supported by:
Natural Sciences and Engineering Research Council of Canada (2019-03907).

Abstract

Abstract: In this paper, we define a new class of control functions through aggregate special functions. These class of control functions help us to stabilize and approximate a tri-additive $\boldsymbol{\psi}$-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital $C^*$-algebras and Banach algebras by the vector-valued alternative fixed point theorem.

Key words: permuting tri-homomorphism in Banach algebra, permuting tri-derivation on $C^*$-algebra, fixed point theorem, Ulam-Hyers-Rassias stability, aggregate special functions, tri-additive $\boldsymbol{\psi}$-functional inequality

CLC Number:

39B52

Safoura Rezaei Aderyani, Azam Ahadi, Reza Saadati, Hari M. Srivastava. AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE -FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS^*[J].Acta mathematica scientia,Series B, 2024, 44(1): 311-338.

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References

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AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE -FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS^*

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