On φ-strongly accretive mappings and some set-valued variational problems

被引：17

作者：

He, XL ^{[1
]}

机构：

[1] Luzhou Med Coll, Math Teaching & Res Sect, Luzhou 646000, Sichuan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 277卷 / 02期

关键词：

set-valued mapping; accretive mapping; pseudocontractive mapping; variational inclusions; variational inequalities;

D O I：

10.1016/S0022-247X(02)00582-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper shows that a continuous phi-strongly accretive mapping on a real Banach space is single-valued. And some recent results of set-valued variational inclusions and inequalities are discussed. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：504 / 511

页数：8

共 50 条

[1] New proximal algorithms for a class of (A,η)-accretive variational inclusion problems with non-accretive set-valued mappings
Lan H.-Y.
Journal of Applied Mathematics and Computing, 2007, 25 (1-2) : 255 - 267
[2] (A, η)-accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces
Lan, Heng-you
APPLIED MATHEMATICS LETTERS, 2007, 20 (05) : 571 - 577
[3] Ishikawa and Mann iterative processes with errors for set-valued strongly accretive and φ-hemicontractive mappings
Huang, NJ
Cho, YJ
Kang, SM
Hwang, HJ
MATHEMATICAL AND COMPUTER MODELLING, 2000, 32 (7-8) : 791 - 801
[4] On nonline set-valued variational inclusions with H-accretive mappings in Banach spaces
Jin, MM
Li, JP
WAVELET ANALYSIS AND ACTIVE MEDIA TECHNOLOGY VOLS 1-3, 2005, : 953 - 958
[5] On the ∈-variational principle for set-valued mappings
Li, S. J.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (10) : 1627 - 1632
[6] Approximations of solutions for set-valued φ-strongly accretive equations
Chang, SS
Kim, JK
Cho, YJ
DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 515 - 524
[7] Iterative processes with errors for nonlinear set-valued variational inclusions involving accretive type mappings
Huang, NJ
Fang, YP
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 727 - 738
[8] SURJECTIVITY RESULTS FOR PHI-ACCRETIVE SET-VALUED MAPPINGS
DOWNING, DJ
PACIFIC JOURNAL OF MATHEMATICS, 1978, 77 (02) : 381 - 388
[9] RENORMING AND THE THEORY OF PHI-ACCRETIVE SET-VALUED MAPPINGS
DOWNING, DJ
RAY, WO
PACIFIC JOURNAL OF MATHEMATICS, 1983, 106 (01) : 73 - 85
[10] A study of variational inequalities for set-valued mappings
Tan, KK
Tarafdar, E
Yuan, GXZ
JOURNAL OF INEQUALITIES AND APPLICATIONS, 1999, 3 (02) : 161 - 181

← 1 2 3 4 5 →