Results 111 to 120 of about 17,319 (149)

On the Application of the Auxiliary Problem Principle

Journal of Optimization Theory and Applications, 2003
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LOSI, Arturo, RUSSO, Mario
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Extended auxiliary problem principle using Bregman distances

Optimization, 2004
An extension of the Auxiliary Problem Principle (cf., G. Cohen (1980). Auxiliary problem principle and decomposition of optimization problems. JOTA, 32, 277–305; G. Cohen (1988). Auxiliary problem principle extended to variational inequalities. JOTA, 59, 325–333.) for solving variational inequalities with maximal monotone operators is studied.
A. Kaplan, R. Tichatschke
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Bregman functions and auxiliary problem principle

Optimization Methods and Software, 2008
An extension of the auxiliary problem principle for solving variational inequalities with maximal monotone operators is studied. The main idea of this approach consists in an application of Bregman functions for constructing symmetric (regularizing) components of the auxiliary operators.
A. Kaplan, R. Tichatschke
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Auxiliary problem principle and decomposition of optimization problems

Journal of Optimization Theory and Applications, 1980
The auxiliary problem principle allows one to find the solution of a problem (minimization problem, saddle-point problem, etc.) by solving a sequence of auxiliary problems. There is a wide range of possible choices for these problems, so that one can give special features to them in order to make them easier to solve.
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Auxiliary problem principle extended to variational inequalities

Journal of Optimization Theory and Applications, 1988
The auxiliary problem principle has been proposed by the author as a framework to describe and analyze iterative optimization algorithms such as gradient or subgradient as well as decomposition/coordination algorithms. In this paper, we extend this approach to the computation of solutions to variational inequalities.
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Extended auxiliary problem principle to variational inequalities involving multi-valued operators

Optimization, 2004
An extension of the auxiliary problem principle to variational inequalities with non-symmetric multi-valued operators in Hilbert spaces is studied. This extension supposes that the operator of the variational inequality is split up into the sum of a maximal monotone operator and a single-valued operator , which is linked with a sequence of non ...
A. Kaplan, R. Tichatschke
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