Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Professor Felipe Lara Obreque,Universidad de Tarapacá, Arica, Chile
Inviter:	Professor Dai Yuhong
Title:	On strongly quasiconvex functions: existence results and proximal point algorithms
Language:	Chinese
Time & Venue:	2023.05.03 14:00-15:00 N202
Abstract:	The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompasses different problems from mathematical sciences, economics and engineering among others and, furthermore, they are especially useful for algorithms purposes. In this talk, we present an overview on strongly quasiconvex functions from the open question regarding the existence of solutions for the minimization problem until its solution in 2022. As a consequence, we study properties for the proximity operator and its applications in proximal point algorithms and subgradient projection methods for studying nonsmooth strongly quasiconvex functions.