期刊论文详细信息
Fixexd point theory and applications | |
Genericity and porosity in fixed point theory: a survey of recent results | |
Simeon Reich1  Alexander J Zaslavski1  | |
[1] Department of Mathematics, The Technion - Israel Institute of Technology, Haifa, Israel | |
关键词: approximate fixed point; Baire category; Banach space; bounded linear regularity; complete metric space; contractive mapping; fixed point; holomorphic mapping; hyperbolic space; infinite product; nonexpansive mapping; porous set; set-valued mapping; weak ergodic theorem; 37C20; 46G20; 46T25; 47H09; 47H10; 54E50; 54E52; 54H25; | |
DOI : 10.1186/s13663-015-0444-9 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We survey recent results regarding genericity and porosity in fixed point theory. These results concern, inter alia, infinite products, nonexpansive mappings, approximate fixed points, contractive mappings, bounded linear regularity, set-valued mappings, holomorphic mappings and weak ergodic theorems. We consider both normed linear spaces and hyperbolic metric spaces.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901227272329ZK.pdf | 1672KB | download |