On selections of general linear inclusions

被引：0

作者：

Nikodem, Kazimierz ^{[1
]}

Popa, Dorian ^{[2
]}

机构：

[1] Univ Bielsko Biala, Dept Math, PL-43309 Bielsko Biala, Poland

[2] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2009年 / 75卷 / 1-2期

关键词：

general linear inclusion; selection; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that a set-valued map with closed, convex and uniformly bounded values in a Banach space, which satisfy a general linear inclusion, admits a selection that satisfies a general linear equation.

引用

页码：239 / 249

页数：11

共 50 条

[1] On Selections of Set-Valued Inclusions in a Single Variable with Applications to Several Variables
Piszczek, Magdalena
RESULTS IN MATHEMATICS, 2013, 64 (1-2) : 1 - 12
[2] Selections of set-valued functions satisfying the general linear inclusion
Smajdor, Andrzej
Szczawinska, Joanna
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (01) : 133 - 145
[3] Selections of set-valued functions satisfying the general linear inclusion
Andrzej Smajdor
Joanna Szczawińska
Journal of Fixed Point Theory and Applications, 2016, 18 : 133 - 145
[4] Selections and near-selections in metric linear spaces without local convexity
Dobrowolski, Tadeusz
van Mill, Jan
FUNDAMENTA MATHEMATICAE, 2006, 192 (03) : 215 - 232
[5] On selections of set-valued Euler-Lagrange inclusions with applications
Khodaei, Hamid
El-Fassi, Iz-iddine
Hayati, Bahman
ACTA MATHEMATICA SCIENTIA, 2020, 40 (04) : 1105 - 1115
[6] On selections of set-valued Euler-Lagrange inclusions with applications
Hamid Khodaei
Iz-iddine El-Fassi
Bahman Hayati
Acta Mathematica Scientia, 2020, 40 : 1105 - 1115
[7] Selections of set-valued maps satisfying a linear inclusion in a single variable
Brzdek, Janusz
Popa, Dorian
Xu, Bing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (01) : 324 - 330
[8] Selections of generalized convex set-valued functions satisfying some inclusions
Khodaei, Hamid
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (02) : 1104 - 1115
[9] On Selections of Set-Valued Inclusions in a Single Variable with Applications to Several Variables
Magdalena Piszczek
Results in Mathematics, 2013, 64 : 1 - 12
[10] On the Stability of the General Linear Equation
Popa, Dorian
RESULTS IN MATHEMATICS, 2009, 53 (3-4) : 383 - 389

← 1 2 3 4 5 →