The properties of functional inclusions and Hyers-Ulam stability

被引:24
作者
Piszczek, Magdalena [1 ]
机构
[1] Pedag Univ, Inst Math, PL-30084 Krakow, Poland
关键词
Stability of functional equation; set-valued map; selection;
D O I
10.1007/s00010-012-0119-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that a set-valued function satisfying some functional inclusions admits, in appropriate conditions, a unique selection satisfying the corresponding functional equation. As a consequence we obtain the result on the Hyers-Ulam stability of that functional equation.
引用
收藏
页码:111 / 118
页数:8
相关论文
共 50 条
[21]   STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES [J].
Mondal, Pratap ;
Samanta, T. K. .
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2016, 6 (02) :307-314
[22]   Stability of an incomplete gamma-type functional equation [J].
Lee, YW ;
Choi, BM .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03) :477-486
[23]   STABILITY OF A FUNCTIONAL EQUATION RELATED TO DISTANCE MEASURES - II [J].
Kim, Gwang Hui ;
Sahoo, Prasanna K. .
ANNALS OF FUNCTIONAL ANALYSIS, 2010, 1 (01) :26-35
[24]   STABILITY OF FUNCTIONAL EQUATIONS RELATED TO THE EXPONENTIAL AND BETA FUNCTIONS [J].
Lee, Young Whan .
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2010, 17 (04) :363-372
[25]   Phytoplankton functional diversity increases ecosystem productivity and stability [J].
Vallina, S. M. ;
Cermeno, P. ;
Dutkiewicz, S. ;
Loreau, M. ;
Montoya, J. M. .
ECOLOGICAL MODELLING, 2017, 361 :184-196
[26]   The stability of Cauchy's gamma-beta functional equation [J].
Lee, YW ;
Choi, BM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 299 (02) :305-313
[27]   Functional analysis of glycosylation in Etanercept: Effects over potency and stability [J].
Medina Martinez, Victor Perez ;
Tierrablanca-Sanchez, Lilia ;
Espinosa-de la Garza, Carlos E. ;
Juarez-Bayardo, Laura C. ;
Pina-Lara, Nelly ;
Gonzalez Santoyo, German ;
Perez, Nestor O. .
EUROPEAN JOURNAL OF PHARMACEUTICAL SCIENCES, 2020, 153
[28]   On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations [J].
Khodaei, Hamid .
RESULTS IN MATHEMATICS, 2015, 68 (1-2) :1-10
[29]   On the Stability of Additive, Quadratic, Cubic and Quartic Set-valued Functional Equations [J].
Hamid Khodaei .
Results in Mathematics, 2015, 68 :1-10
[30]   External and internal driving forces of community and functional group stability in the forest mammal community [J].
She, Wen ;
Gu, Jiayin ;
Qi, Jinzhe ;
Liu, Shuyan ;
Yang, Xifu ;
Zhang, Zhibin ;
Jiang, Guangshun .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2024, 291 (2033)