Bounded approximants to monotone operators on Banach spaces
S. Fitzpatrick, R. R. Phelps (1992)
Annales de l'I.H.P. Analyse non linéaire
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.
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.
Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Lj. Kočinac (1991)
Matematički Vesnik
Similarity:
Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Veselý, L. (1992)
Acta Mathematica Universitatis Comenianae. New Series
Similarity: