Banach 空间中无限族 Bregman 弱相对非扩张映射的一种新收缩投影算法
泛函分析
2023-04-21 v2
摘要
本文利用一种新的收缩投影方法以及极大单调算子的广义预解式和广义投影,我们考虑在自反 Banach 空间中强收敛地寻找一个 Bregman 拟非扩张映射的不动点、无限族 Bregman 弱相对非扩张映射的公共不动点、有限族极大单调映射的公共零点以及平衡问题的公共解。
引用
@article{arxiv.2212.06409,
title = {A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space},
author = {Bijan Orouji and Ebrahim Soori and Donal O'Regan and Ravi P. Agarwal},
journal= {arXiv preprint arXiv:2212.06409},
year = {2023}
}
备注
28 pages. arXiv admin note: substantial text overlap with arXiv:2107.13254