Éditeur(s) : HAL CCSDSchool of Communications and Informatics Résumé : International audience An approximate procedure for solving equilibrium problems is proposed and its convergence is established under natural conditions. The result obtained in this paper includes, as a special case, some known results in convex minimization and monotone inclusion fields. ISSN: 1443-5756
Éditeur(s) : HAL CCSDSchool of Communications and Informatics Résumé : International audience The hybrid proximal point algorithm introduced by Solodov and Svaiter allowing significant relaxation of the tolerance requirements imposed on the solution of proximal subproblems will be combined with the inertial method introduced by Alvarez and Attouch which incorporates second order information to achieve faster convergence. The weak convergence of the resulting method will be investigated for finding zeroes of a maximal monotone operator in a Hilbert space. ISSN: 1443-5756