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.
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页数：21
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