On a Method of Solving Some Functional Equations for Set-Valued Functions

被引:8
作者
Sikorska, Justyna [1 ]
机构
[1] Univ Silesia, Inst Math, Bankowa 14, PL-40007 Katowice, Poland
关键词
Set-valued function; Hukuhara difference; Hausdorff distance; Additive function; Quadratic function; Drygas equation; Orthogonally additive equation;
D O I
10.1007/s11228-017-0465-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the first part of the paper we collect and prove several properties of the Hausdorff metric and the Hukuhara difference. They are applied in the next part where a tool for solving several equations for set-valued functions is described.
引用
收藏
页码:295 / 304
页数:10
相关论文
共 17 条
[1]  
Aczel J., 1989, ENGLISH, V31, pxiii + 462
[2]  
[Anonymous], 1987, Advances in Multivariate Statistical Analysis
[3]  
[Anonymous], 1977, LECT NOTES MATH
[4]  
[Anonymous], 1993, MATH ITS APPL
[5]  
[Anonymous], 1965, Iasi, Sectia I-a Mat.
[6]   A COMMON GENERALIZATION OF FUNCTIONAL-EQUATIONS CHARACTERIZING NORMED AND QUASI-INNER-PRODUCT SPACES [J].
EBANKS, BR ;
KANNAPPAN, P ;
SAHOO, PK .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1992, 35 (03) :321-327
[8]  
Heijnen B., 1986, BLATTER DTSCH GESELL, V17, P217
[9]   On inner products in linear, metric spaces [J].
Jordan, P ;
Neumann, JV .
ANNALS OF MATHEMATICS, 1935, 36 :719-723
[10]  
Kannappan P, 2009, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-89492-8_1