One-Step Iteration Scheme for Multivalued Nonexpansive Mappings in CAT(0) Spaces

被引：19

作者：

Uddin, Izhar ^{[1
]}

Nieto, Juan J. ^{[2
,3
]}

Ali, Javid ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

关键词：

CAT(0) space; fixed point; Delta-convergence and Opial's property; FIXED-POINTS; BANACH-SPACES; CONVERGENCE; THEOREMS; MANN; MAPS;

D O I：

10.1007/s00009-015-0531-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce one-step iteration scheme involving two multivalued nonexpansive mappings in CAT(0) spaces and utilize the same to prove Delta-convergence as well as strong convergence theorems with and without end point conditions. Our results generalize and extend several relevant results in the literature.

引用

页码：1211 / 1225

页数：15

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