期刊论文详细信息
Fixexd point theory and applications | |
Fixed point theorems and the Krein-S̆mulian property in locally convex spaces | |
Hua Zhou1  Fuli Wang1  | |
[1] School of Mathematics and Physics, Changzhou University, Changzhou, China | |
关键词: fixed point theorem; locally convex space; Krein-SÌmulian property; family of measures of weak noncompactness; 47H10; 47H08; 47H30; | |
DOI : 10.1186/s13663-015-0400-8 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
The aim of this paper is to establish some new fixed point theorems for the superposition operators in locally convex spaces which satisfy the Krein-S̆mulian property. We employ a family of measures of noncompactness in conjunction with the Schauder-Tychonoff fixed point theorem. As an application, the existence of solutions to a quite general nonlinear Volterra type integral equation is considered in locally integrable spaces.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201904025336204ZK.pdf | 1676KB | download |