SELECTIONS OF GENERALIZED CONVEX SET-VALUED FUNCTIONS WITH BOUNDED DIAMETER

被引：0

作者：

Smajdor, Andrzej ^{[1
]}

Szczawinska, Joanna ^{[1
]}

机构：

[1] Pedag Univ, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland

来源：

FIXED POINT THEORY | 2017年 / 18卷 / 01期

关键词：

Subadditive set-valued function; stability; fixed point;

D O I：

10.24193/fpt-ro.2017.1.29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying the classical Banach fixed point theorem we prove that a set-valued function with bounded diameter satisfying a linear functional inclusion admits a unique selection fulfilling the corresponding functional equation. We also adopt the method of the proof for investigating the Hyers-Ulam stability of some functional equations.

引用

页码：375 / 383

页数：9

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