期刊论文详细信息
Fixexd point theory and applications | |
Higher-order Lipschitz mappings | |
Jeffery Ezearn1  | |
[1] Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana | |
关键词: metric space; fixed point; Lipschitz mapping; higher-order Lipschitz mapping; local Lipschitzity; stable and unstable polynomials; Baire category theorem; Perron-Frobenius theorem; 47H09; 47H10; | |
DOI : 10.1186/s13663-015-0334-1 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We study self-mappings on complete metric spaces, which we refer to as higher-order Lipschitz mappings. These mappings generalise Lipschitz mappings, the latter which are equivalent to first-order Lipschitz mappings studied in this paper. The main result of this paper is to extend the Banach fixed point theorem (and an often-cited generalisation) to higher-order contraction mappings. We also present results on the problem of local Lipschitzity of these higher-order Lipschitz mappings.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904027834457ZK.pdf | 1700KB | download |