Affine localization for fixed points of Lipschitz quotient operators

Advances in Fixed Point Theory Pub Date : 2019-10-06 DOI:10.28919/afpt/1805

X. Udo-utun

引用次数: 0

Abstract

We modify and apply new property obtained recently in (Udo-utun, Fixed Point Theory and Applications 2014, 2014:65) and results in (Berinde, Carpath. J. Math. 19(1):7-22, 2003; Nonlinear Anal. Forum 9(1):43- 53, 2004) on (δ, k)−weak contractions to obtain asymptotic fixed point theorems for bi-Lipschitz mappings and Lipschitz quotient mappings in Banach spaces. Our results complement and improve several fixed point theorems for Lipschitzian mappings.

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Lipschitz商算子不动点的仿射定位

我们修改和应用(udo - uton，不动点理论与应用2014,2014:65)中最近获得的新性质，并在(Berinde, Carpath)中得到结果。数学学报，19(1):7-22,2003;非线性肛门。Banach空间中双Lipschitz映射和Lipschitz商映射的(δ， k)−弱压缩得到渐近不动点定理。我们的结果补充并改进了Lipschitzian映射的几个不动点定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Fixed Point Theory

CiteScore

0.20

自引率

0.00%

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