Results 31 to 40 of about 4,267,250 (176)
Cauchy′s functional equation in restricted complex domains [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 Using a method modified from that used by Pisot and Schoenberg in 1964‐1965, a Cauchy′s functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.
Watcharapon Pimsert +2 more
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A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Journal of Function Spaces, 2015 We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
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On the stability of a Cauchy type functional equation
Demonstratio Mathematica, 2018 In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye +3 more
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A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
Fixed Point Theory and Applications, 2008 Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we will adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation
Zoon-Hee Lee, Soon-Mo Jung
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On the Stability Problem in Fuzzy Banach Space
Abstract and Applied Analysis, 2012 We investigate the generalized Ulam-Hyers stability of the Cauchy functional equation and pose two open problems in fuzzy Banach space.
G. Zamani Eskandani +2 more
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Stability of Functional Equations in Dislocated Quasi-Metric Spaces
Annales Mathematicae Silesianae, 2018 We present a result on the generalized Hyers-Ulam stability of a functional equation in a single variable for functions that have values in a complete dislocated quasi-metric space.
Hejmej Beata
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Métodos de Maz'ia e Landweber para o problema de Cauchy elíptico [PDF]
, 2015 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.Nesta dissertação foi trabalhado o clássico exemplo de problema mal ...
Souza, Mario Luiz Previatti de
core
Discrete Dynamics in Nature and Society, 2011 We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((3x−y−4z)/4)+f((4x+3z)/4)∥≤∥2f(x)∥ and ∥f((y−x)/3)+f((x−3z)/3)+f((3x+3z−y)/3)∥≤∥f(x)∥ in non-Archimedean normed spaces in the spirit of the Th. M.
A. Ebadian +3 more
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Fuzzy Stability of Quadratic Functional Equations
Advances in Difference Equations, 2010 The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
Dong Yun Shin +3 more
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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
Mathematics, 2020 We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Janusz Brzdęk, El-sayed El-hady
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