Stability of the solution set of a noncoervive variational inequality

Authors
Adly, S Ernst, E Thera, M
Citation
S. Adly et al., Stability of the solution set of a noncoervive variational inequality, CR AC S I, 333(5), 2001, pp. 409-414
Citations number
6
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
333
Issue
5
Year of publication
2001
Pages
409 - 414
Database
ISI
SICI code
0764-4442(20010901)333:5<409:SOTSSO>2.0.ZU;2-J
Abstract
In this Note, we study a general class of noncoercive variational inequalit ies. An existence result, as well as the stability of the solution set with respect to small perturbations of the data involved in the problem are giv en. This study is done using well-known tools of convex analysis and the co ncept of well-positioned convex sets. The reader can find the proofs of the results in [2]. (C) 2001 Academie des sciences/Editions scientifiques et m edicales Elsevier SAS.