FIXED POINTS AND SOLUTIONS OF OPERATOR EQUATIONS FOR THE WEAK TOPOLOGY IN BANACH ALGEBRAS

被引：30

作者：

Banas, Jozef ^{[1
]}

Taoudi, Mohamed-Aziz ^{[2
]}

机构：

[1] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

[2] Univ Cadi Ayyad, Ctr Univ Polydisciplinaire Kalaa Sraghna, Marrakech, Morocco

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 03期

关键词：

Banach algebra; Weakly compact set; Weakly sequentially continuous operator; Measure of weak noncompactness; Fixed point theorem; Operator equation; Dunford-Pettis property; INTEGRABLE SOLUTIONS; EXISTENCE; THEOREMS; SUM;

D O I：

10.11650/tjm.18.2014.3860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some fixed point theorems for operators acting in Banach algebras and satisfying conditions expressed mainly with help of weak topology and measures of weak noncompactness. The existence of solutions to some class of operator equations in Banach algebras is also discussed. Some examples are presented to illustrate our results.

引用

页码：871 / 893

页数：23

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