Singularities of homogeneous quadratic mappings

2012 ◽  
Vol 108 (1) ◽  
pp. 95-112 ◽  
Author(s):  
Santiago López de Medrano
Keyword(s):  
Quadratic Mappings

On an equation characterizing multi-additive-quadratic mappings and its Hyers–Ulam stability

2015 ◽  
Vol 265 ◽  
pp. 448-455 ◽  
Author(s):  
Anna Bahyrycz ◽  
Krzysztof Ciepliński ◽  
Jolanta Olko
Keyword(s):  
Ulam Stability ◽  
Quadratic Mappings

scholarly journals Multivariate Nonnegative Quadratic Mappings

2004 ◽  
Vol 14 (4) ◽  
pp. 1140-1162 ◽  
Author(s):  
Zhi-Quan Luo ◽  
Jos F. Sturm ◽  
Shuzhong Zhang
Keyword(s):  
Quadratic Mappings

scholarly journals Generalized Stability ofC*-Ternary Quadratic Mappings

2007 ◽  
Vol 2007 ◽  
pp. 1-6 ◽  
Author(s):  
Choonkil Park ◽  
Jianlian Cui
Keyword(s):  
Functional Equation ◽  
Quadratic Functional Equation ◽  
Quadratic Functional ◽  
Quadratic Mappings ◽  
Generalized Stability

We prove the generalized stability ofC*-ternary quadratic mappings inC*-ternary rings for the quadratic functional equationf(x+y)+f(x−y)=2f(x)+2f(y).

scholarly journals Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Hark-Mahn Kim ◽  
Juri Lee
Keyword(s):  
Banach Spaces ◽  
Quadratic Mappings

scholarly journals On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces withoutΔ2-Conditions

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Kittipong Wongkum ◽  
Parin Chaipunya ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theory ◽  
Lower Semicontinuous ◽  
Point Theory ◽  
Quadratic Functional ◽  
Modular Spaces ◽  
Quadratic Mappings ◽  
Rassias Stability

We approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relatives ofΔ2-conditions.

scholarly journals Intuitionistic random almost additive-quadratic mappings

2012 ◽  
Vol 2012 (1) ◽  
pp. 152 ◽  
Author(s):  
Choonkil Park ◽  
Madjid Eshaghi Gordji ◽  
Masumeh Ghanifard ◽  
Hamid Khodaei
Keyword(s):  
Quadratic Mappings

scholarly journals Approximate Quartic and Quadratic Mappings in Quasi-Banach Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-18
Author(s):  
M. Eshaghi Gordji ◽  
H. Khodaei ◽  
Hark-Mahn Kim
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Banach Spaces ◽  
Mixed Type ◽  
Quadratic Mapping ◽  
Ulam Stability ◽  
Linear Spaces ◽  
Quadratic Mappings

we establish the general solution for a mixed type functional equation of aquartic and a quadratic mapping in linear spaces. In addition, we investigate the generalized Hyers-Ulam stability inp-Banach spaces.

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