Seminar: Projection type algorithms for solving equilibrium problems

Time:

Venue/Location: Phòng C101, VIASM

Báo cáo viên: Assoc. Prof. Bui Van Dinh, Military Technical Academy

Tóm tắt: In this talk, we present projection type algorithms for finding a solution to the equilibrium problem in Euclidean spaces, where the bifunction is not required to satisfy any monotonicity condition. Unlike existing methods in the literature such as shrinking projection methods, which may increase computational cost, we propose using an adaptive projection method incorporated with linesearch procedures to solve these problems when the bifunction does not satisfy the Lipschitz-type condition. These linesearch procedures are unnecessary when the bifunction satisfies the Lipschitz-type condition. In cases where the Lipschitz-type constants are unknown, we propose using adaptive step sizes. All the proposed algorithms are proven to converge to a solution of the considered problem, and some numerical examples are also presented to illustrate their efficiency.