Results 131 to 140 of about 17,319 (149)
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Coupling the auxiliary problem principle with descent methods of pseudoconvex programming
European Journal of Operational Research, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Daoli, Marcotte, Patrice
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Combining the Auxilliary Problem Principle with Approximation Methods
1997The paper deals with iterative schemes for finding a zero of a maximal monotone operator. A combination of the auxiliary principle with the Tikhonov method is considered. Under some assumptions the sequence generated by such an iterative scheme is shown to converge to a solution of the problem that is required to satisfy an associated variational ...
Moudafi, Abdellatif, Théra, Michel
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On Auxiliary Principle for Equilibrium Problems
2003The auxiliary problem principle introduced by Cohen is extended to a general equilibrium problem. In particular, applications to variational inequalities and to convex optimization problems are analysed.
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Rendiconti del Circolo Matematico di Palermo Series 2, 2019
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Balooee, Javad, Cho, Yeol Je
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Balooee, Javad, Cho, Yeol Je
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Journal of Optimization Theory and Applications, 2017
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Chadli, Ouayl +2 more
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Chadli, Ouayl +2 more
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A vector auxiliary principle technique approach to systems of mixed vector equilibrium problems
Optimization, 2018In this paper, we introduce and study a system of generalized mixed vector equilibrium problems involving set-valued variational-like inequalities (SGMVEP, in short) in the general setting of Banac...
Ouayl Chadli, Asma Saidi, Xiaopeng Zhao
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Evaluation of convergence rate in the auxiliary problem principle for distributed optimal power flow
IEE Proceedings - Generation, Transmission and Distribution, 2002An approach to paralleling optimal power flow is described that is applicable to very large interconnected power systems and is suitable for distributed implementation. The proposed scheme is based on an augmented Lagrangian approach using the 'auxiliary problem principle'.
D. Hur, J.-K. Park, B.H. Kim
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2007 IEEE International Conference on Automation and Logistics, 2007
The convergent performance of the auxiliary problem principle based distributed and parallel optimization algorithm (APPBDPOA) is dependent on its parameters and power network partition. Because of the complexity of the optimal power flow, it is difficult to obtain the sufficient and necessary conditions of convergence for APPBDPOA in theory.
Lixia Cao +4 more
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The convergent performance of the auxiliary problem principle based distributed and parallel optimization algorithm (APPBDPOA) is dependent on its parameters and power network partition. Because of the complexity of the optimal power flow, it is difficult to obtain the sufficient and necessary conditions of convergence for APPBDPOA in theory.
Lixia Cao +4 more
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Journal of Nonlinear and Variational Analysis
Summary: In this paper, inertial iterative algorithms based on auxiliary principle are proposed for solving linearly constrained monotone equilibrium problems (LCMEP) via an auxiliary principle, which is to construct an auxiliary equilibrium problem and show that a solution of the auxiliary problem is also a solution to the original problem.
Ou, Xiaoqing +3 more
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Summary: In this paper, inertial iterative algorithms based on auxiliary principle are proposed for solving linearly constrained monotone equilibrium problems (LCMEP) via an auxiliary principle, which is to construct an auxiliary equilibrium problem and show that a solution of the auxiliary problem is also a solution to the original problem.
Ou, Xiaoqing +3 more
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Journal of Optimization Theory and Applications, 2012
In this paper, a system of auxiliary generalized mixed equilibrium problems are introduced for solving a new system of generalized mixed equilibrium problems in Banach spaces. The author proves the existence and uniqueness of solutions of the system of auxiliary generalized mixed equilibrium problems. Next, by using the auxiliary principle technique, a
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In this paper, a system of auxiliary generalized mixed equilibrium problems are introduced for solving a new system of generalized mixed equilibrium problems in Banach spaces. The author proves the existence and uniqueness of solutions of the system of auxiliary generalized mixed equilibrium problems. Next, by using the auxiliary principle technique, a
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