A study on fixed point theorems for a class of generalized nonexpansive mappings in Hadamard spaces

被引：2
|
作者：
Varatechakongka, Aree [1 ]
Phuengrattana, Withun [1 ]
机构：
[1] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Dept Math, Nakhon 73000, Pathom, Thailand
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 02期
关键词：
Delta-Convergence; Demiclosed principle; Quasi-nonexpansive mapping; Hadamard spaces; CONVERGENCE THEOREMS; INFINITE PRODUCTS; OPERATORS;
D O I：
10.1007/s40590-019-00270-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the class of mappings with B., mu condition due to Patir et al. (Fixed Point TheoryAppl 2018:19, 2018) in the setting ofHadamard spaces. We prove a demiclosedness principle for such mapping in Hadamard spaces. Furthermore, we also prove the similar to-convergence of the sequence generated by the S-iteration process for finding fixed points of the class of mappings with B., mu condition in Hadamard spaces. Our results extend some known results which appeared in the literature.
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页码：687 / 699
页数：13
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