References of "Journal of Optimization Theory & Applications"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailRecent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems
Aragón Artacho, Francisco Javier UL; Borwein, J. M.; Tam, M. K.

in Journal of Optimization Theory & Applications (in press)

We discuss recent positive experiences applying convex feasibility algorithms of Douglas-Rachford type to highly combinatorial and far from convex problems.

Detailed reference viewed: 120 (14 UL)
Full Text
Peer Reviewed
See detailExtragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
Phan, Vuong UL; Jean Jacques, Strodiot; Nguyen, Van Hien

in Journal of Optimization Theory & Applications (2012)

In this paper, we introduce some new iterative methods for finding a common element of the set of points satisfying a Ky Fan inequality, and the set of fixed points of a contraction mapping in a Hilbert ... [more ▼]

In this paper, we introduce some new iterative methods for finding a common element of the set of points satisfying a Ky Fan inequality, and the set of fixed points of a contraction mapping in a Hilbert space. The strong convergence of the iterates generated by each method is obtained thanks to a hybrid projection method, under the assumptions that the fixed-point mapping is a ξ-strict pseudocontraction, and the function associated with the Ky Fan inequality is pseudomonotone and weakly continuous. A Lipschitz-type condition is assumed to hold on this function when the basic iteration comes from the extragradient method. This assumption is unnecessary when an Armijo backtracking linesearch is incorporated in the extragradient method. The particular case of variational inequality problems is examined in a last section. [less ▲]

Detailed reference viewed: 90 (4 UL)