Results 81 to 90 of about 1,144 (174)
Nonlinear Random Stability via Fixed-Point Method
Journal of Applied Mathematics, 2012 We prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in various complete random normed spaces.
Yeol Je Cho, Shin Min Kang, Reza Saadati
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk +2 more
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Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces
Abstract and Applied Analysis, 2010 Using fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in non-Archimedean Banach spaces.
Choonkil Park
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Priority Areas for Preserving Angiosperm Evolutionary History in the Iberian Peninsula
Diversity and Distributions, Volume 32, Issue 6, June 2026.ABSTRACT Aim To identify areas with a high concentration of threatened evolutionary history and to evaluate how effectively the current network of protected areas encompasses them, focusing on the global conservation relevance of angiosperms native to a regional biodiversity hotspot.
Ignacio Ramos‐Gutiérrez +6 more
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Ward identity violation for melonic T4-truncation
Nuclear Physics B, 2019 Referring to recent works concerning the functional renormalization group for tensorial group fields theories (Lahoche and Ousmane Samary (2018) [2] and [1]), this paper gives in-depth explanation for, the ambiguity around the search of fixed points in ...
Vincent Lahoche, Dine Ousmane Samary
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Stability of an AQCQ-functional equation in paranormed spaces
, 2012 Using the fixed point method and direct method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in paranormed ...
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Discrete Dynamics in Nature and Society, 2010 Using the fixed point methods, we prove the generalized Hyers-Ulam stability of the general mixed additive-quadratic-cubic-quartic functional equation f(x+ky)+f(x−ky)=k2f(x+y)+k2f(x−y)+2(1−k2)f(x)+((k4−k2)/12)[f(2y)+f(−2y)−4f(y)−4f(−y)] for a fixed ...
Tian Zhou Xu +2 more
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Solution and Stability of Euler-Lagrange-Rassias Quartic Functional Equations in Various Quasinormed Spaces [PDF]
, 2020 We obtain the general solution of Euler-Lagrange-Rassias quartic functional equation of the following ( + ) + ( We also prove the Hyers-Ulam-Rassias stability in various quasinormed spaces when ...
Heejeong Koh, Dongseung Kang
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Ulam stability for finite variable quadratic functional equation in Banach algebra
, 2020 <p>In this paper, we determine some stability results concerning the quartic functional equation as of the form Xs b=1 φ −vb + Xs a=1;a6=b va − 4 X 1≤a</p ...
K. Tamilvanan, G. Balasubramanian and K. Loganathan
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Nonlinear
Journal of Inequalities and Applications, 2011 We prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation: in complete latticetic random normed spaces.
Saadati Reza, Zohdi MM, Vaezpour SM
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