Search Results - "Rassias, John Michael"

Stability of the Apollonius Type Additive Functional Equation in Modular Spaces and Fuzzy Banach Spaces by Kim, Sang Og, Michael Rassias, John

“…In this work, we investigate the generalized Hyers-Ulam stability of the Apollonius type additive functional equation in modular spaces with or without Δ 2…”
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A MEASURE ZERO STABILITY OF A FUNCTIONAL EQUATION ASSOCIATED WITH INNER PRODUCT SPACE by Chun, Jaeyoung, Rassias, John Michael

“…Let X, Y be real normed vector spaces. We exhibit all the solutions $f:X{\rightarrow}Y$ of the functional equation f(rx + sy) + rsf(x - y) = rf(x) + sf(y) for…”
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Weighted Heisenberg–Pauli–Weyl uncertainty principles for the linear canonical transform by Feng, Qiang, Li, Bing-Zhao, Rassias, John-Michael

“…•The Plancherel–Parseval–Rayleigh identities associated with the linear canonical transform (LCT) and 2D LCT are derived.•Based on the derived identities, the…”
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Stability of a cubic functional equation in intuitionistic random normed spaces by 张石生 John Michael RASSIAS Reza SAADATI

“…In this paper, the stability of a cubic functional equation in the setting of intuitionistic random normed spaces is proved. We first introduce the notation of…”
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A FIXED POINT APPROACH TO THE STABILITY OF A GENERAL MIXED ADDITIVE-CUBIC EQUATION ON BANACH MODULES by 许天周 Rassias John Michael 许婉欣

“…Using a fixed-point method, we establish the generalized Hyers-Ulam stability of a general mixed additive-cubic equation： f（kx ＋ y） ＋ f（kx - y） = kf（x ＋ y） ＋…”
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On the Generalized Stabilities of Functional Equations via Isometries by Sarfraz, Muhammad, Zhou, Jiang, Li, Yongjin, Rassias, John

“…The main goal of this research article is to investigate the stability of generalized norm-additive functional equations. This study demonstrates that these…”
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A Note on the Stability of Functional Equations via a Celebrated Direct Method by Zhang, Dongwen, Rassias, John Michael, Liu, Qi, Li, Yongjin

“…More than ten years after Justyna Sikorska [8] attempted to solve the Heyers-Ulam stability of a single variable equation by using direct method. In this…”
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Stochastic Lie bracket (derivation, derivation) in MB-algebras by Madadi, Masoumeh, Saadati, Reza, Park, Choonkil, Rassias, John Michael

“…By a stochastic controller, we make stable the pseudo stochastic Lie bracket (derivation, derivation) in complex MB-algebras. Next, we get an approximation by…”
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The Stability of Functional Equations with a New Direct Method by Zhang, Dongwen, Liu, Qi, Rassias, John Michael, Li, Yongjin

“…We investigate the Hyers–Ulam stability of an equation involving a single variable of the form ∥f(x)−αf(kn(x))−βf(kn+1(x))∥⩽u(x) where f is an unknown operator…”
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Non-symmetry and symmetry of syzygies of a system of Cauchy functional equations with a homomorphism by Zhang, Dongwen, Rassias, John Michael, Liu, Qi, Li, Yongjin

“…Two entirely different Cauchy functional equations have been investigated in the literature with a couple of unknown operators f and g mapping a unitary ring X…”
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Approximation of Mixed Euler-Lagrange σ-Cubic-Quartic Functional Equation in Felbin’s Type f-NLS by Rassias, John Michael, Pasupathi, Narasimman, Saadati, Reza, de la Sen, Manuel

“…In this research paper, the authors present a new mixed Euler-Lagrange σ-cubic-quartic functional equation. For this introduced mixed type functional equation,…”
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Stability of the Jensen-Type Functional Equation in C^∗-Algebras: A Fixed Point Approach by Park, Choonkil, Rassias, John Michael

“…Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on…”
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Ulam Stabilities and Instabilities of Euler–Lagrange-Rassias Quadratic Functional Equation in Non-Archimedean IFN Spaces by Tamilvanan, Kandhasamy, Alanazi, Abdulaziz Mohammed, Rassias, John Michael, Alkhaldi, Ali H.

“…In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping…”
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Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces by Tamilvanan, Kandhasamy, Alkhaldi, Ali H., Jakhar, Jyotsana, Chugh, Renu, Jakhar, Jagjeet, Rassias, John Michael

“…In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the…”
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Stabilities and non-stabilities of reciprocal-nonic and reciprocal-decic functional equations by Bodaghi, Abasalt, Senthil Kumar, Beri Venkatachalapathy, Rassias, John Michael

“…This paper focuses at the various stability results of  reciprocal-nonic and reciprocal-decic functional equations in non-Archimedean fields and illustrations…”
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Orthogonal Stability and Nonstability of a Generalized Quartic Functional Equation in Quasi-β-Normed Spaces by Alessa, Nazek, Tamilvanan, K., Loganathan, K., Karthik, T. S., Rassias, John Michael

“…In this work, we examine the generalized Hyers-Ulam orthogonal stability of the quartic functional equation in quasi-β-normed spaces. Moreover, we prove that…”
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A MEASURE ZERO STABILITY OF A FUNCTIONAL EQUATION ASSOCIATED WITH INNER PRODUCT SPACE by Chun, Jaeyoung, Rassias, John Michael

“…Let $X, Y$ be real normed vector spaces. We exhibit all the solutions $f:X\to Y$ of the functional equation $ f(rx+sy)+rsf(x-y)=rf(x)+sf(y) $ for all $x, y\in…”
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Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces by John Michael Rassias, R. Murali, A. Antony Raj

“…In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces…”
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On the stability of a class of cosine type functional equations by Rassias, John Michael, Zeglami, Driss, Charifi, Ahmed

“…The aim of this paper is to investigate the stability problem for the pexiderized trigonometric functional equation    f₁(xy)+f₂(xσ(y))=2g₁(x)g₂(y),  x,y∈G,  …”
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On the Hyers-Ulam Stability of a General Mixed Additive and Cubic Functional Equation in n-Banach Spaces by Xu, Tian Zhou, Rassias, John Michael

“…The objective of the present paper is to determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in n-Banach spaces by…”
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