Approximately Midconvex Set-Valued Functions

被引：0

作者：

Mirmostafaee, Alireza Kamel ^{[1
]}

Mahdavi, Mostafa ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Sch Math Sci, Ctr Excellence Anal Algebra Struct, Dept Pure Math, Mashhad 91775, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2014年 / 37卷 / 02期

关键词：

Set-valued mappings; superadditive map; midconvex map; HYERS-ULAM STABILITY; ADDITIVE MAPPINGS; NORMED SPACES; EQUATIONS; INCLUSIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will show that if F is a set-valued mapping which satisfies F(x)+F(y) subset of 2F ((x+y)/2) + K for some convex compact set K, then under some restrictions, there are maximal superaddifive and midconvex mappings which are K-subclose to F.

引用

页码：525 / 530

页数：6

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