CAT(0)空间中平均非扩张映射的临近点算法

Proximal Point Algorithm for a Mean Nonexpansive Mapping in CAT(0) Spaces

本文在CAT(0)空间中,为找到凸下半连续函数极小元集与平均非扩张映射不动点点集公共元而构造了新的临近点算法,研究了算法的收敛性,所得结果改进和推广了文献[9-11]中的结果。

This paper constructs a new proximal point algorithms in CAT（ 0） spaces to find a common element of convex and lower semi-continuous function and a mean nonexpansive mapping. It studies the convergence of its algorithm,and obtains corresponding results to improve and extend the results in literature [9-11].