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.
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页码：649 / 656
页数：8
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