Topological degree for maximal monotone operators and application to parametric optimization problems.
Riahi, Hassan (1994)
Journal of Convex Analysis
Similarity:
Riahi, Hassan (1994)
Journal of Convex Analysis
Similarity:
S. Fitzpatrick, R. R. Phelps (1992)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
R. R. Phelps (1997)
Extracta Mathematicae
Similarity:
These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
Domokos, A. (1997)
Mathematica Pannonica
Similarity:
Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
Berkovits, Juha (1999)
Abstract and Applied Analysis
Similarity:
Hassan Riahi (1993)
Extracta Mathematicae
Similarity:
Dariusz Zagrodny (2010)
Czechoslovak Mathematical Journal
Similarity:
It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).
P. Kenderov (1976)
Studia Mathematica
Similarity: