ABSTRACT MEASURES OF NONCOMPACTNESS AND FIXED POINTS FOR NONLINEAR MAPPINGS

被引：3
|
作者：
Ariza-Ruiz, David [1 ]
Carcia-Falset, Jesus [2 ]
机构：
[1] Univ Seville, Dept Anal Matemat, Apdo 1160, E-41080 Seville, Spain
[2] Univ Valencia, Dept Anal Matemat, Dr Moliner 50, E-46100 Valencia, Spain
来源：
FIXED POINT THEORY | 2020年 / 21卷 / 01期
关键词：
Measure of noncompactness; fixed points; continuous mappings; THEOREM;
D O I：
10.24193/fpt-ro.2020.1.04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of fixed points for a mapping by using abstract measures of noncompactness. Thus, we can obtain some generalizations of Darbo and Sadovskii's theorems and we also give a characterization for the existence of fixed points of a mapping which is not necessarily continuous. Finally, we solve an open problem proposed by I.A. Rus in 2001.
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页码：47 / 65
页数：19
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