51吃瓜

题    目：Inertial Viscosity Algorithms for Variational Inclusion Problems

报告人：秦小龙 教授

单    位：杭州师范大学

时    间：2026年11月6日10:00

地    点：龙子湖校区九章学堂南楼C座209

摘    要：Variational inclusion is a fundamental mathematical model for numerous problems arising in real-world applications. It is closely connected to as split feasibility problems, variational inequalities, equilibrium problems and so on and has been extensively studied. In this talk, we present some inertial viscosity algorithms based on the forward-backward splitting technique for the solution of monotone inclusion problems in real Hilbert spaces. Our algorithms work adaptively in the absence of the Lipschitz constant of the single-valued operator involved. The weak and strong convergence of the algorithms are investigated and established under some appropriate assumptions. We also presented some numerical experiments to support our algorithms.

简    介：秦小龙，教授，博士生导师，省特聘专家，斯坦福前2%学者，美国Sigma Xi正会员(Full Member)，英国IMA会士(Fellow)，自首届起连续九年入选科睿唯安(汤森路透)全球高被引，连续十一年入选爱思唯尔中国高被引，主要从事非线性分析，最优化理论与应用的研究。近年来已在SIOPT, SICON, ESAIM-cocv, CVPDE, IEEE Trans等国际学术刊物发表论文一百余篇，获省自然科学奖三等奖一项，科睿唯安同行审阅奖两项(51吃瓜 和跨学科)，最佳论文奖两项(JOGO和51吃瓜 物理学报)，担任AMSA, JNVA, JOTA, JCAM, Opimization等多个本领域国际期刊编委，并于2025受邀在华人51吃瓜 家大会(ICCM)作45分钟邀请报告。