Aggregate special functions to approximate permuting tri-homomorphisms and permuting tri-derivations associated with a tri-additive ψ-functional inequality in Banach algebras

Acta Mathematica Scientia - Tập 44 Số 1 - Trang 311-338 - 2024
Safoura Rezaei Aderyani1, Azam Ahadi1, Reza Saadati1, H. M. Srivástava2
1School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
2Department of Mathematics and Statistics, Universtity of Victoria, Victoria, Canada

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Grabisch M, Marichal J L, Mesiar R, Pap E. Aggregation Functions. Cambridge: Cambridge University Press, 2009

Luo Y, Zhu K. Characterizations for the cross-migrativity between overlap functions and commutative aggregation functions. Information Sciences, 2023, 622: 303–318

Candeal J C. Abstract aggregation functions and social choice. Fuzzy Sets and Systems, 2023, 454: 190–198

Debnath K, Roy S K. Power partitioned neutral aggregation operators for T-spherical fuzzy sets: An application to H2 refuelling site selection. Expert Systems with Applications, 2023, 216: 119470

Aderyani S R, Saadati R. Best approximations of the ϕ-Hadamard fractional Volterra integro-differential equation by matrix valued fuzzy control functions. Adv Differ Equ, 2021, 2021 (1): Art 154

Karthikeyan S, Park C, Palani P, Kumar T R K. Stability of an additive-quartic functional equation in modular spaces. J Math Computer Sci, 2022, 26(1): 22–40

Park C, Jin Y, Shin D, Zhang X, Govindan V. Permuting triderivations and permuting trihomomorphisms in Banach algebras. Rocky Mountain J Math, 2020, 50(5): 1793–1806

Aderyani S R, Saadati R, Mesiar R. Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive ϒ-random operator inequality in matrix MB-algebra. International Journal of General Systems, 2022, 51(6): 547–569

Aderyani S R, Saadati R, O’Regan D, Alshammari F S. Multi-super-stability of antiderivations in Banach algebras. AIMS Mathematics, 2022, 7(11): 20143–20163

Aderyani S R, Saadati R, O’Regan D, Alshammari F S. Existence, uniqueness and stability analysis with the multiple Exp function method for NPDEs. Mathematics, 2022, 10 (21): Art 4151

Diaz J B, Margolis B. A fixed point theorem of the alternative, for contractions on a generalized complete metric space. Bull Am Math Soc, 1968, 74: 305–309

Bonforte M, Endal J. Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities. Journal of Functional Analysis, 2023, 284(6): 109831

Van An L. Generalized stability of functional inequalities with 3k-variables associated for Jordan-von Neumann-type additive functional equation. Open Access Library Journal, 2023, 10(1): 1–17

Kopfer E, Streets J. Bochner formulas, functional inequalities and generalized Ricci flow. Journal of Functional Analysis, 2023, 284 (10): Art 109901

Van An L. Generalized stability additive λ-functional inequalities with 3k-variable in α-homogeneous F-spaces. International Journal of Analysis and Applications, 2022, 20: 43–43

Bae J, Park W. Approximate bi-homomorphisms and bi-derivations in C*-ternary algebras. Bull Korean Math Soc, 2010, 47: 195–209