ITERATIVE ALGORITHM FOR FIXED POINTS OF MULTI-VALUED PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES

被引：0

作者：

Chidume, C. E. ^{[1
]}

Chidume, C. O. ^{[2
]}

Djitte, N. ^{[1
,3
]}

Minjibir, M. S. ^{[1
,4
]}

机构：

[1] African Univ Sci & Technol, Abuja, Nigeria

[2] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

[3] Univ Gaston Berger, St Louis, Senegal

[4] Bayero Univ, Dept Math Sci, Kano, Nigeria

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 02期

关键词：

Lipschitz pseudo-contractive mappings; multi-valued mappings; q-uniformly smooth spaces; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; NONLINEAR MAPPINGS; HILBERT-SPACE; MANN; MAPS; CONSTRUCTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let q > 1 and let E be a q-uniformly smooth real Banach space and K be a nonempty, closed and convex subset of E. Let CB(K) be the collection of all closed and bounded subsets of K. Suppose that T : K -> CB(K) is a multi-valued bounded continuous pseudo-contractive mapping with a nonempty fixed point set. A new iteration scheme is constructed and the corresponding sequence {x(n)} is proved to converge strongly to a fixed point of T under appropriate conditions on the iteration parameters. Our theorems are significant improvements on several important recent results.

引用

页码：241 / 255

页数：15

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