An extension of the auxiliary problem principle to nonsymmetric auxiliary operators
A. Renaud, G. Cohen (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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A. Renaud, G. Cohen (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Brohe, M., Tossings, P. (2000)
Serdica Mathematical Journal
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Let H be a real Hilbert space and T be a maximal monotone operator on H. A well-known algorithm, developed by R. T. Rockafellar [16], for solving the problem (P) ”To find x ∈ H such that 0 ∈ T x” is the proximal point algorithm. Several generalizations have been considered by several authors: introduction of a perturbation, introduction of a variable metric in the perturbed algorithm, introduction of a pseudo-metric in place of the classical regularization, . . . We summarize some of...
Attouch, H., Baillon, J.-B., Théra, M. (1994)
Journal of Convex Analysis
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Paulina Pych-Taberska (1989)
Banach Center Publications
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Popa, Emil C. (2002)
General Mathematics
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Hassan Riahi (1993)
Extracta Mathematicae
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Rafał Czyż, Lisa Hed, Håkan Persson (2012)
Annales Polonici Mathematici
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Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in ℂⁿ. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.
Heinz Bauer (1974)
Mathematische Zeitschrift
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