KRASNOSELSKII'S THEOREM IN GENERALIZED BANACH SPACES AND APPLICATIONS

被引：0
|
作者：
Petre, Ioan-Radu [1 ]
Petrusel, Adrian [1 ]
机构：
[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2012年 / 85期
关键词：
compact operator; complete generalized metric space; Contraction Principle; fixed point; generalized contraction; generalized Banach space; generalized metric space; integral equation; integral inclusion; iterative method; Krasnoselskii theorem; A-contraction; matrix convergent to zero; multivalued operator; Picard operator; Perov theorem; relatively compact operator; singlevalued operator; Schauder theorem; sum of two operators; vector-valued metric; vector-valued norm; weakly Picard operator; Fredholm-Volterra equation; Fredholm-Volterra inclusion; FIXED-POINT THEOREM; CONTRACTION; SET;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to extend Krasnoselskii's fixed point theorem to the case of generalized Banach spaces for singlevalued and multivalued operators. As applications, we will give some existence results for abstract system of Fredholm-Volterra type differential equations and inclusions.
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页码：1 / 20
页数：20
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