Geodesic
Reduction of variational inequalities with irregular operators on a~ball to regular operator equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2013), pp. 32-41

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose a method for reducing variational inequalities defined by general smooth irregular operators on a ball in a Hilbert space to equivalent regular operator equations. The mentioned equations involve the operator of metric projection on the boundary of the ball. We establish conditions which guarantee the local strong monotonicity of the obtained equations. We discuss applications to the problem of finding normed eigenvectors of nonlinear operators.
Keywords: variational inequality, smooth operator, irregular operator, operator equation, eigenvector. 
@article{IVM_2013_4_a3,
     author = {M. Yu. Kokurin},
     title = {Reduction of variational inequalities with irregular operators on a~ball to regular operator equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {32--41},
     publisher = {mathdoc},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_4_a3/}
}
TY  - JOUR
AU  - M. Yu. Kokurin
TI  - Reduction of variational inequalities with irregular operators on a~ball to regular operator equations
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 32
EP  - 41
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_4_a3/
LA  - ru
ID  - IVM_2013_4_a3
ER  - 
%0 Journal Article
%A M. Yu. Kokurin
%T Reduction of variational inequalities with irregular operators on a~ball to regular operator equations
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 32-41
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_4_a3/
%G ru
%F IVM_2013_4_a3
M. Yu. Kokurin. Reduction of variational inequalities with irregular operators on a~ball to regular operator equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2013), pp. 32-41. http://geodesic.mathdoc.fr/item/IVM_2013_4_a3/