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A proximal point algorithm for finding minimizers and fixed points of quasi-pseudo-contractive mappings in CAT(0) spaces
Journal of Fixed Point Theory and Applications ( IF 1.4 ) Pub Date : 2020-11-26 , DOI: 10.1007/s11784-020-00839-9
Shih-sen Chang , L. Wang , L. C. Zhao , X. D. Liu

The purpose of this article is twofold. One is to establish a proximal point algorithm for finding a minimizer of a proper convex and lower semi-continuous function and fixed points of quasi-pseudo-contractive mappings in CAT(0) spaces. The other is to point out and correct a basic and conceptual error in a paper of Ugwunnadi et al. [Theorem 3.1, J. Fixed Point Theory Appl. (2018) 20: 82].



中文翻译:

查找CAT(0)空间中拟伪压缩映射的极小值和不动点的近点算法

本文的目的是双重的。一种是建立一种近点算法,以找到适当的凸和下半连续函数的极小值以及CAT(0)空间中拟伪压缩映射的不动点。另一种是在Ugwunnadi等人的论文中指出并纠正基本和概念上的错误。[定理3.1,J。定点理论应用。(2018)20:82]。

更新日期:2020-11-27
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