Contributions to the ekeland variational principle oriented to some different applications
105 tr.
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Định dạng: | Luận văn, Luận án (Theses) |
Ngôn ngữ: | Vietnamese |
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University Of Science
2022
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Truy cập trực tuyến: | http://ir.vnulib.edu.vn/handle/VNUHCM/8282 |
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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 |
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Đại học Quốc Gia Hồ Chí Minh |
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language |
Vietnamese |
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Toán ứng dụng |
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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 |
_version_ |
1749008769075904512 |