Contributions to the ekeland variational principle oriented to some different applications

105 tr.

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Hiển thị chi tiết
Tác giả chính: Le, Phuoc Hai
Định dạng: Luận văn, Luận án (Theses)
Ngôn ngữ:Vietnamese
Thông tin xuất bản: University Of Science 2022
Chủ đề:
Truy cập trực tuyến:http://ir.vnulib.edu.vn/handle/VNUHCM/8282
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spelling oai:192.168.1.90:VNUHCM-82822022-06-13T06:31:11Z Contributions to the ekeland variational principle oriented to some different applications Le, Phuoc Hai Phan, Quoc Khanh Toán ứng dụng 105 tr. The Ekeland variational principle (for short, EVP) is the most popular variational principle and one of the most important results in optimization and nonlinear and variational analysis over the past half-century. Actually, EVP formulated in finitedimensional spaces is one of the first and most powerful results of modern variational analysis. A typical variational principle says that, on a complete (generalized) metric space X, a lower semicontinuous and bounded from below function ’ has a perturbation function g such that ’ + g attains a unique (strict) minimizer. Different variational principles involve different types of g. See Bishop and Phelps where g is a translation of the metric of X, Stegall where X is a Banach space, and g 2 X∗; but one notable limitation on its application is that even when the original function is differentiable, the perturbed function is not. 2022-06-13T06:31:11Z 2022-06-13T06:31:11Z 2022 Luận văn, Luận án (Theses) 62460112 http://ir.vnulib.edu.vn/handle/VNUHCM/8282 62460112 vi application/pdf application/pdf University Of Science
institution Đại học Quốc Gia Hồ Chí Minh
collection DSpace
language Vietnamese
topic Toán ứng dụng
spellingShingle Toán ứng dụng
Le, Phuoc Hai
Contributions to the ekeland variational principle oriented to some different applications
description 105 tr.
format Luận văn, Luận án (Theses)
author Le, Phuoc Hai
author_facet Le, Phuoc Hai
author_sort Le, Phuoc Hai
title Contributions to the ekeland variational principle oriented to some different applications
title_short Contributions to the ekeland variational principle oriented to some different applications
title_full Contributions to the ekeland variational principle oriented to some different applications
title_fullStr Contributions to the ekeland variational principle oriented to some different applications
title_full_unstemmed Contributions to the ekeland variational principle oriented to some different applications
title_sort contributions to the ekeland variational principle oriented to some different applications
publisher University Of Science
publishDate 2022
url http://ir.vnulib.edu.vn/handle/VNUHCM/8282
work_keys_str_mv AT lephuochai contributionstotheekelandvariationalprincipleorientedtosomedifferentapplications
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