Results 51 to 60 of about 722 (111)
GENERALIZED STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN VARIOUS SPACES
, 2019 . In this paper, using the direct and fixed point methods, we have established the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean and intuitionistic random normed spaces. AMS 2010 Subject
Shaymaa Alshybani
semanticscholar +1 more source
A Functional equation related to inner product spaces in non-archimedean normed spaces
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
doaj
On the Hyers-Ulam-Rassias stability of a general cubic functional equation
, 2003 In this paper, we solve the generalized Hyers-Ulam-Rassias stability problem for a cubic functional equation f (x + 2y) + f (x− 2y) + 6f (x) = 4f (x + y) + 4f (x− y) in the spirit of Hyers, Ulam, Rassias and Gǎvruta.
K. Jun, Hark-Mahn Kim
semanticscholar +1 more source
Nonlinear approximation of an ACQ-functional equation in nan-spaces
Fixed Point Theory and Applications, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces. Mathematics Subject Classification (2010) 39B52·47H10·26E30·46S10·
Lee Jung +2 more
doaj
A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
, 2011 Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f(mx+ny)=(m+n)f(x+y)2+(m-n)f(x-y)2 in non-Archimedean normed spaces and in random normed spaces, where m, n are ...
H. A. Kenary, S. Jang, Choonkill Park
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An extension of a variant of d’Alemberts functional equation on compact groups
Acta Universitatis Sapientiae: Mathematica, 2017 All paper is related with the non-zero continuous solutions f : G → ℂ of the functional equation f(xσ(y))+f(τ(y)x)=2f(x)f(y), x,y∈G,$${\rm{f}}({\rm{x}}\sigma ({\rm{y}})) + {\rm{f}}(\tau ({\rm{y}}){\rm{x}}) = 2{\rm{f}}({\rm{x}}){\rm{f}}({\rm{y}}),\;\;\
EL-Fassi Iz-iddine +2 more
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On Popoviciu-Ionescu functional equation
, 2016 We study a functional equation first proposed by T. Popoviciu in 1955. It was solved for the easiest case by Ionescu in 1956 and, for the general case, by Ghiorcoiasiu and Roscau, and Rad\'o in 1962.
Almira, J. M.
core +2 more sources
Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj
Multi-variable translation equation which arises from homothety
, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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On the stability of set-valued functional equations with the fixed point alternative
, 2012 Using the fixed point method, we prove the Hyers-Ulam stability of a Cauchy-Jensen type additive set-valued functional equation, a Jensen type additive-quadratic set-valued functional equation, a generalized quadratic set-valued functional equation and a
H. A. Kenary +3 more
semanticscholar +1 more source