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Title: Regularization of Nonmonotone Variational Inequalities

Abstract

In this paper we extend the Tikhonov-Browder regularization scheme from monotone to rather a general class of nonmonotone multivalued variational inequalities. We show that their convergence conditions hold for some classes of perfectly and nonperfectly competitive economic equilibrium problems.

Authors:
 [1];  [2];  [3]
  1. Department of Applied Mathematics, Kazan University, ul. Kremlevskaya 18, Kazan 420008 (Russian Federation), E-mail: Igor.Konnov@ksu.ru
  2. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo (Egypt)
  3. Informatics Problems Institute of AS RT, Kazan 420012 (Russian Federation)
Publication Date:
OSTI Identifier:
21067421
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Mathematics and Optimization; Journal Volume: 53; Journal Issue: 3; Other Information: DOI: 10.1007/s00245-005-0849-7; Copyright (c) 2006 Springer; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONVERGENCE; EQUILIBRIUM; VARIATIONAL METHODS

Citation Formats

Konnov, Igor V., Ali, M.S.S., and Mazurkevich, E.O. Regularization of Nonmonotone Variational Inequalities. United States: N. p., 2006. Web. doi:10.1007/S00245-005-0849-7.
Konnov, Igor V., Ali, M.S.S., & Mazurkevich, E.O. Regularization of Nonmonotone Variational Inequalities. United States. doi:10.1007/S00245-005-0849-7.
Konnov, Igor V., Ali, M.S.S., and Mazurkevich, E.O. Mon . "Regularization of Nonmonotone Variational Inequalities". United States. doi:10.1007/S00245-005-0849-7.
@article{osti_21067421,
title = {Regularization of Nonmonotone Variational Inequalities},
author = {Konnov, Igor V. and Ali, M.S.S. and Mazurkevich, E.O.},
abstractNote = {In this paper we extend the Tikhonov-Browder regularization scheme from monotone to rather a general class of nonmonotone multivalued variational inequalities. We show that their convergence conditions hold for some classes of perfectly and nonperfectly competitive economic equilibrium problems.},
doi = {10.1007/S00245-005-0849-7},
journal = {Applied Mathematics and Optimization},
number = 3,
volume = 53,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2006},
month = {Mon May 15 00:00:00 EDT 2006}
}