Multi-quadratic mappings with an involution

Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2019-12-16-24 ◽

2019 ◽

pp. 16-24

Author(s):

Svetlana Sergeevna Bel'mesova ◽

Keyword(s):

Parameter Family ◽

Invariant Curve ◽

Quadratic Mappings

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Singularities of homogeneous quadratic mappings

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-012-0102-6 ◽

2012 ◽

Vol 108 (1) ◽

pp. 95-112 ◽

Cited By ~ 8

Author(s):

Santiago López de Medrano

Keyword(s):

Quadratic Mappings

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.037 ◽

2015 ◽

Vol 265 ◽

pp. 448-455 ◽

Cited By ~ 1

Author(s):

Anna Bahyrycz ◽

Krzysztof Ciepliński ◽

Jolanta Olko

Keyword(s):

Ulam Stability ◽

Quadratic Mappings

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Multivariate Nonnegative Quadratic Mappings

SIAM Journal on Optimization ◽

10.1137/s1052623403421498 ◽

2004 ◽

Vol 14 (4) ◽

pp. 1140-1162 ◽

Cited By ~ 86

Author(s):

Zhi-Quan Luo ◽

Jos F. Sturm ◽

Shuzhong Zhang

Keyword(s):

Quadratic Mappings

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Quadratic Mappings

Quadratic Mappings and Clifford Algebras ◽

10.1007/978-3-7643-8606-1_2 ◽

2008 ◽

pp. 53-103

Keyword(s):

Quadratic Mappings

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Generalized Stability ofC*-Ternary Quadratic Mappings

Abstract and Applied Analysis ◽

10.1155/2007/23282 ◽

2007 ◽

Vol 2007 ◽

pp. 1-6 ◽

Cited By ~ 17

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).

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Approximate Euler-Lagrange Quadratic Mappings in Fuzzy Banach Spaces

Abstract and Applied Analysis ◽

10.1155/2013/869274 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 1

Author(s):

Hark-Mahn Kim ◽

Juri Lee

Keyword(s):

Banach Spaces ◽

Quadratic Mappings

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On the Hyers–Ulam–Rassias stability of generalized quadratic mappings in Banach modules

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.10.027 ◽

2004 ◽

Vol 291 (1) ◽

pp. 214-223 ◽

Cited By ~ 12

Author(s):

Chun-Gil Park

Keyword(s):

Quadratic Mappings ◽

Banach Modules ◽

Rassias Stability

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

Journal of Function Spaces ◽

10.1155/2015/461719 ◽

2015 ◽

Vol 2015 ◽

pp. 1-6 ◽

Cited By ~ 5

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.

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Intuitionistic random almost additive-quadratic mappings

Advances in Difference Equations ◽

10.1186/1687-1847-2012-152 ◽

2012 ◽

Vol 2012 (1) ◽

pp. 152 ◽

Cited By ~ 4

Author(s):

Choonkil Park ◽

Madjid Eshaghi Gordji ◽

Masumeh Ghanifard ◽

Hamid Khodaei

Keyword(s):

Quadratic Mappings

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