Three-step Iterations for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

被引：7

作者：

Saluja, Gurucharan S. ^{[1
]}

Postolache, Mihai ^{[2
]}

机构：

[1] Govt Nagarjuna PG Coll Sci, Dept Math, Raipur 492010, Madhya Pradesh, India

[2] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania

来源：

FILOMAT | 2017年 / 31卷 / 05期

关键词：

Total asymptotically nonexpansive mapping; Delta-convergence; strong convergence; modified three-step iteration process; fixed point; CAT(0) space; DELTA-CONVERGENCE THEOREMS; APPROXIMATING FIXED-POINTS; FAMILY;

D O I：

10.2298/FIL1705317S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish strong and Delta-convergence theorems of modified three-step iterations for total asymptotically nonexpansive mapping which is wider than the class asymptotically nonexpansive mappings in the framework of CAT(0) spaces. Our results extend and generalize the corresponding results of Chang et al. [Demiclosed principle and Delta-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces, Appl. Math. Comput. 219(5) (2012) 2611-2617], Nanjaras and Panyanak [Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces, Fixed Point Theory Appl. Vol. 2010, Art. ID 268780], and many others.

引用

页码：1317 / 1330

页数：14

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