报告题目：Strongly Convergent Inertial Proximal Point Algorithm Without On-line Rule

报告人：Yekini Shehu（浙江师范大学）

负责人：谭兵

报告时间：2025年5月26日（星期一）上午10:00-12:00

报告地点：数学大楼915

参加人员：教师、研究生、本科生

报告摘要: This talk presents a strongly convergent Halpern-type proximal point algorithm with double inertial effects to find a zero of a maximal monotone operator in Hilbert spaces. The strong convergence results are obtained without on-line rule of the inertial parameters and the iterates. This makes our proof arguments different from what is obtainable in the literature where on-line rule is imposed on a strongly convergent proximal point algorithm with inertial extrapolation. Numerical examples with applications to image restoration and compressed sensing show that our proposed algorithm is useful and has practical advantages over existing ones.

报告人简介：Yekini Shehu，教授，德国洪堡基金获得者，现为浙江师范大学硕士生导师。他主要从事非线性算子理论的研究，至今已在本领域主流刊物上发表了超过180篇SCI论文。此外，他担任了SCI期刊《FIXED POINT THEORY》的编委。