Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces

被引：19

作者：

Chidume, CE ^{[1
]}

Zegeye, H

Kazmi, KR

机构：

[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 05期

关键词：

variational inclusions; iterative algorithms; m-accretive mappings; phi-strongly accretive mappings; H-uniformly continuous mappings;

D O I：

10.1016/j.na.2004.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An existence theorem for a new class of multi-valued variational inclusion problems is established in smooth Banach spaces. Further, it is shown that a sequence of a Mann-type iteration algorithm is strongly convergent to the solutions in this class of variational inclusion problems. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：649 / 656

页数：8

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