共查询到20条相似文献,搜索用时 31 毫秒
1.
Mohammad Sal Moslehian 《Journal of Mathematical Analysis and Applications》2006,318(1):211-223
We investigate the stability of Pexiderized mappings in Banach modules over a unital Banach algebra. As a consequence, we establish the Hyers-Ulam stability of the orthogonal Cauchy functional equation of Pexider type f1(x+y)=f2(x)+f3(y), x⊥y in which ⊥ is the orthogonality in the sense of Rätz. 相似文献
2.
The functional equation f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y) is solved where f, g, h are complex functions defined on a group. 相似文献
3.
JAEYOUNG CHUNG HEATHER HUNT ALLISON PERKINS PRASANNA K SAHOO 《Proceedings Mathematical Sciences》2014,124(3):365-381
In this paper, we study the Hyers–Ulam stability of a simple Levi–Civitá functional equation f(x+y)=f(x)h(y)+f(y) and its pexiderization f(x+y)= g(x) h(y)+k(y) on non-unital commutative semigroups by investigating the functional inequalities |f(x+y)?f(x)h(y)?f(y)|≤?? and |f(x+y)?g(x)h(y)?k(y)|≤??, respectively. We also study the bounded solutions of the simple Levi–Civitá functional inequality. 相似文献
4.
We establish a duality formula for the problem Minimize f(x)+g(x) for h(x)+k(x)<0 where g, k are extended-real-valued convex functions and f, h belong to the class of functions that can be written as the lower envelope of an arbitrary family of convex functions. Applications in d.c. and Lipschitzian optimization are given. 相似文献
5.
Eliza Jab?ońska 《Journal of Mathematical Analysis and Applications》2011,381(2):565-572
Let X be a linear space over a commutative field K. We characterize a general solution f,g,h,k:X→K of the pexiderized Go?a?b-Schinzel equation f(x+g(x)y)=h(x)k(y), as well as real continuous solutions of the equation. 相似文献
6.
In this paper, we determine some stability results concerning the cubic functional equation
f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)