Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities

Lu Chuan Zeng; Sy Ming Guu; Jen Chih Yao

doi:10.1016/j.camwa.2004.12.017

Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities

Lu Chuan Zeng
, Sy Ming Guu
, Jen Chih Yao

Shanghai Normal University
Yuan Ze University
National Sun Yat-sen University

Research output: Contribution to journal › Journal Article › peer-review

19 Scopus citations

Abstract

A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.

Original language	English
Pages (from-to)	935-945
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	50
Issue number	5-6
DOIs	https://doi.org/10.1016/j.camwa.2004.12.017
State	Published - 09 2005
Externally published	Yes

Keywords

Auxiliary principle technique
Iterative algorithm
Mixed variational-like inequality
Set-valued mapping

Access to Document

10.1016/j.camwa.2004.12.017

Cite this

@article{de4b6dc600af4f108f936a47cd5ad103,

title = "Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities",

abstract = "A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.",

keywords = "Auxiliary principle technique, Iterative algorithm, Mixed variational-like inequality, Set-valued mapping",

author = "Zeng, \{Lu Chuan\} and Guu, \{Sy Ming\} and Yao, \{Jen Chih\}",

year = "2005",

month = sep,

doi = "10.1016/j.camwa.2004.12.017",

language = "英语",

volume = "50",

pages = "935--945",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "5-6",

}

TY - JOUR

T1 - Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities

AU - Zeng, Lu Chuan

AU - Guu, Sy Ming

AU - Yao, Jen Chih

PY - 2005/9

Y1 - 2005/9

N2 - A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.

AB - A class of completely generalized set-valued strongly nonlinear mixed variational-likeinequalities is introduced. The auxiliary principle technique is extended to study this new class of mixed variational-like inequalities. The existence of a solution of the auxiliary problem for this new class of mixed variational-like inequalities is shown. The iterative algorithm for this new class of mixed variational-like inequalities is given by virtue of this existence result. Moreover, the existence of a solution of this new class of mixed variational-like inequalities and the strong convergence of iterative sequences generated by the algorithm are shown. The convergence criteria are different from some early and recent ones presented in the literature.

KW - Auxiliary principle technique

KW - Iterative algorithm

KW - Mixed variational-like inequality

KW - Set-valued mapping

UR - https://www.scopus.com/pages/publications/26444437230

U2 - 10.1016/j.camwa.2004.12.017

DO - 10.1016/j.camwa.2004.12.017

M3 - 文章

AN - SCOPUS:26444437230

SN - 0898-1221

VL - 50

SP - 935

EP - 945

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5-6

ER -

Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this