國立東華大學應用數學系

專    題    演    講

主講人：莊智升

         國立中山大學應用數學系

講  題：  Algorithms and Convergence Theorems for Mixed Equilibrium

                 Problems in Hilbert Spaces

時  間：104 年 10月 28日 (星期三)  11:00-12:30

地  點：理工一館 A324 會議室

摘 要

Mixed equilibrium problem is proposed by Yao et al. (J. Math. Anal. Appl., vol. 354, pp. 319-329), and this problem contains equilibrium problem and optimization problem as special cases. In this paper, inspired by Iiduka's algorithm (J. Comput. Appl. Math., vol. 236, pp. 1733- 1742) and the above works on equilibrium problems and mixed equilibrium problems, we study mixed equilibrium problems, and present two algorithms and provide new equivalent convergence theorems for these algorithms. Further, we give several important algorithms and convergence theorems for mixed equilibrium problems, like proximal gradient method, Tikhonov regularization method, forward-backward method, conjugate gradient method. As an application, we study minimization problems.

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