Banach 空间中用 Krasnoselskij 迭代法逼近 enriched Chatterjea 压缩映射的不动点
泛函分析
2019-09-10 v1
摘要
利用 [Berinde, V., {\it Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces}, Carpathian J. Math. {\bf 35} (2019), no. 3, 277-288.] 中引入的通过 Krasnoselskij 平均对压缩型映射进行 enriched 的技术，我们引入了 enriched Chatterjea 压缩映射类，并在 Banach 空间的框架下证明了此类压缩映射的一般不动点定理。文中还给出了示例，以说明这一新压缩映射类的丰富性，以及 enriched Banach 压缩、enriched Kannan 压缩与 enriched Kannan 压缩之间的关系。
引用
@article{arxiv.1909.03494,
title = {Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative method in Banach spaces},
author = {Vasile Berinde and Mădălina Păcurar},
journal= {arXiv preprint arXiv:1909.03494},
year = {2019}
}
备注
arXiv admin note: text overlap with arXiv:1909.02379