Reference : The Generalized Variational Metric
E-prints/Working papers : Already available on another site
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/146528
The Generalized Variational Metric
English
Alexandre, Patrick []
Tossings, Patricia mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales >]
Apr-1996
Faculté d'Economie, de Gestion et de Sciences Sociales de l'Université de Liège
Papiers de recherche du G.E.M.M.E. (Groupe d'Etude des Mathématiques du Management et de l'Economie - Faculté d'Economie, de Gestion et de Sciences Sociales de l'Université de Liège), n° 9604
15
No
Liège
Belgium
[en] Linear, continuous, self-adjoint positive definite transformation H ; Norm generated by H ; H-maximal monotone operator ; Generalized resolvent operator ; Generalized variational convergence
[en] The variational convergence theory has known these last years a lot of developments. This theory is fundamental to give a global approach of problems which consist in searching a zero of a maximal monotone operator on a real Hilbert space. The notion of perturbation is often used in the resolution of such problems. More and more authors work also with a special or a variable metric on the space to solve this kind of problems. In the present paper, we give a unified context to couple these two approaches: a variational metric between operators, taking into account different metrics on the space.
Researchers ; Professionals
http://hdl.handle.net/2268/146528
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