Language:   Search:   Contact
World of
Mathematics Database
»ZBMATH« MSC 2000
MSC 2010 Reviewer
Service Subscription
»ZBMATH«
ZBMATH Database | Advanced Search Print
Read more | Try MathML | Hide
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

ZBMATH Database Simple Search Advanced Search Command Search

Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1214.47065
Alimohammady, M.; Balooee, J.; Cho, Y.J.; Roohi, M.
Iterative algorithms for a new class of extended general nonconvex set-valued variational inequalities. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 12, 3907-3923 (2010). ISSN 0362-546X

Summary: Some new classes of extended general nonconvex set-valued variational inequalities and the extended general Wiener-Hopf inclusions are introduced. By the projection technique, the equivalence between the extended general nonconvex set-valued variational inequalities and fixed point problems as well as extended general nonconvex Wiener-Hopf inclusions is proved. Then, by using this equivalent formulation, we discuss the existence of solutions of the extended general nonconvex set-valued variational inequalities and construct some new perturbed finite step projection iterative algorithms with mixed errors for approximating the solutions of extended general nonconvex set-valued variational inequalities. We also verify that the approximate solutions obtained by our algorithms converge to the solutions of extended general nonconvex set-valued variational inequalities. The results presented in this paper extend and improve some known results from the literature.
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H05 Monotone operators (with respect to duality)
49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
47J22

Keywords: set-valued variational inequalities; Wiener-Hopf inclusions; projection technique; perturbed finite step projection iterative algorithms

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

Login Username: Password:

Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Master Server

Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster