Nonlinear -Fuzzy stability of cubic functional equations [PDF]
Journal of Inequalities and Applications, 2012 We establish some stability results for the cubic functional equations
Agarwal, Ravi P +3 more
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The stability of the cubic functional equation in various spaces
Mathematical Communications, 2011 We prove the stability of the cubic functional equation $$ f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)$$ in the setting of various spaces.
Saadati, Reza +2 more
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Hyperstability of the k-Cubic Functional Equation in Non-Archimedean Banach Spaces
Journal of Mathematics, 2020 Using the fixed point approach, we investigate a general hyperstability results for the following k-cubic functional equations fkx+y+fkx−y=kfx+y+kfx−y+2kk2−1fx, where k is a fixed positive integer ≥2, in ultrametric Banach spaces.
Youssef Aribou, Mohamed Rossafi
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Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces
Demonstratio Mathematica, 2019 In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
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Stability of general A-cubic functional equations in modular spaces
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eskandani, G.Z., Rassias, J.M.
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A Note to Paper “On the Stability of Cubic Mappings and Quartic Mappings in Random Normed Spaces”
Journal of Inequalities and Applications, 2009 Recently, Baktash et al. (2008) proved the stability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) and the quartic functional equation f(2x+y)+f(2x−y)=4f(x+y)+4f(x−y)+24f(x)−6f(y) in random ...
R. Saadati, S. M. Vaezpour, Y. J. Cho
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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Journal of Inequalities and Applications, 2009 Recently, the stability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations f(x+y)=f(x)+f(y), 2f((x+y)/2)=f(x)+f(y)
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AQCQ-Functional Equation in Non-Archimedean Normed Spaces
Abstract and Applied Analysis, 2010 We prove the generalized Hyers-Ulam stability of generalized mixed type of quartic, cubic, quadratic and additive functional equation in non-Archimedean spaces.
M. Eshaghi Gordji +3 more
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Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces
Abstract and Applied Analysis, 2011 We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian ...
Zhihua Wang +2 more
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On the Stability of Cubic Mappings and Quadratic Mappings in Random Normed Spaces
Journal of Inequalities and Applications, 2008 Recently, the stability of the cubic functional equation in fuzzy normed spaces was proved in earlier work; and the stability of the additive functional equations , in random normed spaces was proved as well. In this paper, we prove the stability of
Cho YJ +4 more
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