台湾中山大学 姚任之教授：Variational inequalities for set-valued vector fields on Riemannian manifolds: convexity of the solution set and the proximal point algorithm

题目：Variational inequalities for set-valued vector fields on Riemannian manifolds: convexity of the solution set and the proximal point algorithm时间：9月15日（周六）16.30起

地点：稽山宾馆2号会议厅

摘要: We consider variational inequality problems for set-valued vector fields on general Riemannian manifolds. The existence results of the solution, convexity of the solution set and the convergence property of the proximal point algorithm for the variational inequality problems for set-valued mappings on Riemannian manifolds are established. Applications to convexoptimization problems on Riemannian manifolds are provided.

姚任之教授简介：

台湾中山大学应用数学系和台湾高雄医科大学数学系教授, 1990年获美国Stanford大学博士学位，曾任台湾数学杂志(SCI)主编，台湾中山大学数学系主任、理学院院长。现任J Optim Theory and Appl (SCI), Applicable Analysis (SCI), J Nonlinear Convex Anal (SCI) , Fixed Point Theory(SCI)等多个SCI刊物的编委及台湾国科会数学组评审专家。主要从事向量优化、变分不等式、平衡问题、最优控制理论、不动点理论等领域的研究。先后主持台湾国科会自然科学基金项目十余项，出版专著2部，在SCI期刊上发表论文400余篇特别是在优化理论的顶级刊物SIAM J Optim.,SIAMJ. Control Optim., Math. Prog.等权威期刊上发表论文20余篇。在2011年全世界数学家论文被引用次数最多的1178人中名列第42名。曾获台湾国科会研究奖、ESI from Thomson Reuters的Rising Star學者、2011年度中华民国数学会特殊贡献奖等奖励。