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

共 26 条

[1] On solutions of the Frechet functional equation [J].

Almira, Jose Maria ;

Lopez-Moreno, Antonio Jesus .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) :1119-1133

[2] Selections of set-valued maps satisfying a linear inclusion in a single variable [J].

Brzdek, Janusz ;

Popa, Dorian ;

Xu, Bing .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (01) :324-330

[3]

Cardinali T., 1993, Ann. Polon, Math., V58, P185

[4]

Czerwik Stefan, 2002, Functional Equations and Inequalities in Several Variables, P4

[5]

Gajda Z., 1986, INT SCHRIFTENREIHE N, V5, P281

[6] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[7]

Jung SM, 2010, B MALAYS MATH SCI SO, V33, P47

[8] Stability of additive mappings in non-Archimedean fuzzy normed spaces [J].

Mirmostafaee, Alireza Kamel ;

Moslehian, Mohammad Sal .

FUZZY SETS AND SYSTEMS, 2009, 160 (11) :1643-1652

[9] APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES [J].

Mirmostafaee, Alireza Kamel .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (02) :387-400

[10] STABILITY OF FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN SPACES [J].

Moslehian, Mohammad Sal ;

Rassias, Themistocles M. .

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2007, 1 (02) :325-334

← 1 2 3 →