Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications

被引：2

作者：

Farid, Mohamed Amine ^{[1
]}

Chaira, Karim ^{[2
]}

Marhrani, El Miloudi ^{[1
]}

Aamri, Mohamed ^{[1
]}

机构：

[1] Hassan II Univ Casablanca, L3A, Fac Sci Ben MSik, BP 7955, Casablanca 20700, Morocco

[2] CRMEF, Ave Allal El Fassi,BP 6210, Rabat 10000, Morocco

来源：

AXIOMS | 2019年 / 8卷 / 04期

关键词：

Banach algebras; fixed point theorems; measure of weak noncompactness; weak topology; integral equations; EXISTENCE THEOREMS; OPERATOR-EQUATIONS;

D O I：

10.3390/axioms8040130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some fixed point theorems for the nonlinear operator A center dot B+C in Banach algebra. Our fixed point results are obtained under a weak topology and measure of weak noncompactness; and we give an example of the application of our results to a nonlinear integral equation in Banach algebra.

引用

页数：21

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