Iteration regularized semigroups of set-valued functions

被引：0

作者：

Mosallanezhad, Masoud ^{[1
]}

Janfada, Mohammad ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Int Campus, Mashhad, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159, Mashhad 91775, Iran

来源：

JOURNAL OF APPLIED ANALYSIS | 2016年 / 22卷 / 02期

关键词：

Iteration semigroups; iteration C-semigroups; concave iteration semigroup;

D O I：

10.1515/jaa-2016-0013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a set-valued iteration regularized semigroup, i.e. a family {F-t}(t >= 0) of set-valued functions for which Fs+t circle C = F-s circle F-t, F-0 = C, s, t >= 0, will be considered, where C is a set-valued function on a closed convex cone in a Banach space. Under some appropriate conditions the generator of a set-valued regularized concave semigroup is introduced and some of its properties are investigated. Also differentiability of the iteration family {C circle F-t}(t >= 0) is discussed.

引用

页码：121 / 130

页数：10