On the strong and Δ-convergence of new multi-step and S-iteration processes in a CAT(0) space

被引：10

作者：

Basarir, Metin ^{[1
]}

Sahin, Aynur ^{[1
]}

机构：

[1] Sakarya Univ, Fac Sci & Arts, Dept Math, TR-54187 Sakarya, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

CAT(0) space; contractive-like mapping; strong convergence; Delta-convergence; new multi-step iteration; S-iteration; fixed point; FIXED-POINTS; MAPPINGS; THEOREMS;

D O I：

10.1186/1029-242X-2013-482

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of mappings and prove the demiclosedness principle for mappings of this type in a CAT(0) space. Also, we obtain the strong and Delta-convergence theorems of new multi-step and S-iteration processes in a CAT(0) space. Our results extend and improve the corresponding recent results announced by many authors in the literature.

引用

页数：13

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