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

共 26 条

[1]

BAJOCCHI C, 1984, VARIATIONAL QUASI VA

[2]

Bruck R. E., 1981, B ACAD POL SCI SMAP, V29, P585

[3] Set-valued variational inclusions in Banach spaces [J].

Chang, SS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (02) :438-454

[4] On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces [J].

Chang, SS ;

Kim, JK ;

Kim, KH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) :89-108

[5] Approximation methods for nonlinear operator equations [J].

Chidume, CE ;

Zegeye, H .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (08) :2467-2478

[6]

Cioranescu I., 1990, GEOMETRY BANACH SPAC

[7]

Crank J., 1984, Free and Moving Boundary Problems

[8]

DEMYANOV VF, 1996, QUASDIFFERENTIABILIT

[9] Iterative process with errors of nonlinear equations involving m-accretive operators [J].

Ding, XP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 209 (01) :191-201

[10]

Fichera G., 1964, Mem. Ace. Naz. Lincei, V8, P91

← 1 2 3 →