Banach空间中无穷族Bregman弱相对非扩张映射的新型收缩投影算法
A New Shrinking projection Algorithm for an infinite family of Bregman weak relatively nonexpansive mappings in a Banach Space
AI总结：
提出一种结合广义预解式与广义投影的新型收缩投影算法，证明其在自反Banach空间中可强收敛到不动点、零点及平衡问题解的公共点。
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，研究在自反Banach空间中寻找一个Bregman拟非扩张映射不动点、无穷族Bregman弱相对非扩张映射公共不动点、有限族极大单调映射公共零点，以及一个平衡问题公共解的公共点的强收敛性。
英文摘要：
In this paper, using a new shrinking projection method and generalized resolvents of maximal monotone operators and generalized projections, we consider the strong convergence for finding a common point of the fixed points of a Bregman quasi-nonexpansive mapping, and common fixed points of a infinite family of Bregman weak relatively nonexpansive mappings, and common zero points of a finite family of maximal monotone mappings, and common solutions of an equilibrium problem in a reflexive Banach space.
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