The Penalty Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach Space
| dc.creator | Alber, Ya. I. | |
| dc.date | 1993-12-29 | |
| dc.date.accessioned | 2026-07-07T09:13:27Z | |
| dc.date.available | 2026-07-07T09:13:27Z | |
| dc.description | The existence of a solution, convergence and stability of the penalty method for variational inequalities with nonsmooth unbounded uniformly and properly monotone operators in Banach spase $B$ are investigated. All the objects of the inequality - the operator A, "the right-hand part" $f$ and the set of constrains $Ω$ - are to be perturbed. The stability theorems are formulated in terms of geometric characteristics of the spaces $B$ and $B^*$. The results of this paper are continuity and generalization of the Lions' ones, published earlier in \cite{l}. They are new even in Hilbert spaces. | |
| dc.description | 14 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/funct-an/9312005 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9312005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152329 | |
| dc.subject | Functional Analysis | |
| dc.title | The Penalty Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach Space | |
| dc.type | text |