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JGO
2008
115views more  JGO 2008»
13 years 7 months ago
Smoothing by mollifiers. Part I: semi-infinite optimization
We show that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a level set of a single smooth function with certain r...
Hubertus Th. Jongen, Oliver Stein
JGO
2008
53views more  JGO 2008»
13 years 7 months ago
Smoothing by mollifiers. Part II: nonlinear optimization
This article complements the paper [7], where we showed that a compact feasible set of a standard semi-infinite optimization problem can be approximated arbitrarily well by a leve...
Hubertus Th. Jongen, Oliver Stein
JGO
2010
72views more  JGO 2010»
13 years 5 months ago
Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point prob
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points F(S) of a nonexpansive mapping S and the set of solutions ΩA of t...
Lu-Chuan Ceng, Nicolas Hadjisavvas, Ngai-Ching Won...
JGO
2010
112views more  JGO 2010»
13 years 5 months ago
An information global minimization algorithm using the local improvement technique
In this paper, the global optimization problem with an objective function that is multiextremal that satisfies the Lipschitz condition over a hypercube is considered. An algorithm...
Daniela Lera, Yaroslav D. Sergeyev
JGO
2010
121views more  JGO 2010»
13 years 5 months ago
The oracle penalty method
A new and universal penalty method is introduced in this contribution. It is especially intended to be applied in stochastic metaheuristics like genetic algorithms, particle swarm...
Martin Schlüter, Matthias Gerdts