Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces

被引：2

作者：

Bin Dehaish, Buthinah A. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci Girls, Dept Math, Jeddah 21593, Saudi Arabia

[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

asymptotically nonexpansive mapping; asymptotic pointwise nonexpansive mapping; fixed point; inequality of Bruhat and Tits; Ishikawa iteration process; uniformly convex metric space; uniformly Lipschitzian mapping; FIXED-POINTS; INEQUALITIES;

D O I：

10.1186/1687-1812-2013-98

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a complete 2-uniformly convex metric space, C be a nonempty, bounded, closed and convex subset of M, and T be an asymptotic pointwise nonexpansive self mapping on C. In this paper, we define the modified Ishikawa iteration process in M, i.e., x(n+1) = t(n)T(n)(SnTn(X-n) circle plus (1 - S-n)(X-n)) circle plus (1 - t(n))X-n and we investigate when the Ishikawa iteration process converges weakly to a fixed point of T.

引用

页数：13

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