Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100204
Title: A survey on the metric regularity and applications = Chính quy mêtric và ứng dụng - Một tổng quan
Authors: Huynh, Van Ngai
Keywords: Metric regularity
Coderivative
Perturbation stability
Newton iteration
Paraconvez
Issue Date: 2022
Series/Report no.: Tạp chí Khoa học Trường Đại học Quy Nhơn;Tập 16, Số 01 .- Tr.05-21
Abstract: The theory of metric regularity and related topics plays an important role in variational analysis and have many applications in optimization. In recent decades, it has attracted the study of many researchers in both the theoretical aspects and applications. In the survey paper, we present some recent developments, with emphasis on the results established by our research group in the recent decade in this theory and its applications in the study of the Newton-type methods for solving generalized equations. In addition, based on the metric regularity, we establish a new result on a generalization of the convex principle for paraconvex multimaps.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/100204
ISSN: 1859-0357
Appears in Collections:Khoa học Trường Đại học Quy Nhơn

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