Tran Dinh Quoc

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This paper investigates the relation between sequential convex programming (SCP) as, e.g., defined in [24] and DC (difference of two convex functions) programming. We first present an SCP algorithm for solving nonlinear optimization problems with DC constraints and prove its convergence. Then we combine the proposed algorithm with a relaxation technique to(More)
We make use of the Banach contraction mapping principle to prove the linear convergence of a regularization algorithm for strongly monotone Ky Fan inequalities that satisfy a Lipschitz-type condition recently introduced by Mastroeni. We then modify the proposed algorithm to obtain a line search-free algorithm which does not require the Lipschitz-type(More)
This paper proposes an iterative method for solving strongly monotone equilibrium problems by using gap functions combined with double projection-type mappings. Global convergence of the proposed algorithm is proved and its complexity is estimated. This algorithm is then coupled with the proximal point method to generate a new algorithm for solving monotone(More)
The PAD Review publications have been made possible by funding from Danish Interna-The designation of geographical entities in this book, and the presentation of the material , do not imply the expression of any opinion on the part of ICEM or other participating organisations concerning the legal status of any country, territory, or area, or of its(More)
We make use of the auxiliary problem principle to develop iterative algorithms for solving equilibrium problems. The first one is an extension of the extragradient algorithm to equilibrium problems. In this algorithm the equilibrium bifunction is not required to satisfy any monotonicity property, but it must satisfy a certain Lipschitz-type condition. To(More)
Audiographics was an established educational technology prior to the development and spread of the World Wide Web (Web) in the early 1990s. First generation audiographics products used bridged telephone lines (audio) and modem linked computers (graphics) to synchronously connect an instructor with groups of students. In the second half of the 1990s the use(More)
DISCLAIMER: The contents of this report do not necessarily reflect the views and policies of UNEP. The designations employed and the presentations do not imply the expression of any opinion whatsoever on the part of UNEP or of any cooperating organisation concerning the legal status of any country, territory, city or area, of its authorities, or of the(More)
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