Zobrazeno 1 - 10
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pro vyhledávání: '"Vo Si Trong Long"'
Autor:
Vo Si Trong Long
Publikováno v:
Journal of Optimization Theory and Applications. 194:440-464
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::852faced94536d2efc583257cf9d1a80
https://doi.org/10.1007/s10957-022-02033-y
https://doi.org/10.1007/s10957-022-02033-y
Autor:
Vo Si Trong Long
Publikováno v:
Optimization Letters. 15:171-188
In this paper, we propose and study a new notion of local error bounds for a convex inequalities system defined in terms of a minimal time function. This notion is called generalized local error bounds with respect to F, where F is a closed convex su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b82960a4c8c23a33d5fee6f7d9e7eccc
https://doi.org/10.1007/s11590-020-01578-z
https://doi.org/10.1007/s11590-020-01578-z
Autor:
Vo Si Trong Long, Phan Quoc Khanh
Publikováno v:
Optimization. 69:2695-2717
We establish theorems of the Knaster-Kuratowski-Mazurkiewicz (KKM) type on topological spaces with topologically-based generalized convex structures and apply them to the existence study for variat...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec83e6998e9fcd004d9e1d6116e74ae3
https://doi.org/10.1080/02331934.2020.1736069
https://doi.org/10.1080/02331934.2020.1736069
Autor:
Vo Si Trong Long, Phan Quoc Khanh
Publikováno v:
Numerical Functional Analysis and Optimization. 39:100-125
We propose a definition of a generalized type of Knaster–Kuratowski–Mazurkiewicz (KKM) mappings, called a weak T-KKM mapping, and a corresponding weak KKM property. A new extension of the Fan–Glicksberg fixed-point theorem is established. Suffi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::909c8ccc8739fbca4fe6af0b1a96be1a
https://doi.org/10.1080/01630563.2017.1355320
https://doi.org/10.1080/01630563.2017.1355320
Publikováno v:
Mathematical Methods of Operations Research. 79:253-272
In this paper, we establish a continuous selection theorem and use it to derive five equivalent results on the existence of fixed points, sectional points, maximal elements, intersection points and solutions of variational relations, all in topologic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4bac31fa8b3ef6f167f90bd5ace61bd9
https://doi.org/10.1007/s00186-014-0462-0
https://doi.org/10.1007/s00186-014-0462-0
Akademický článek
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Autor:
Vo Si Trong Long, Phan Quoc Khanh
Publikováno v:
Journal of Global Optimization. 58:545-564
To consider existence of solutions to various optimization-related problems, we first develop some equivalent versions of invariant-point theorems. Next, they are employed to derive sufficient conditions for the solution existence for two general mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49e4657949f4599d82c5ed15013907f7
https://doi.org/10.1007/s10898-013-0065-y
https://doi.org/10.1007/s10898-013-0065-y
Autor:
Phan Quoc Khanh, Vo Si Trong Long
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society.
We propose a pure topological notion of a finite-intersection map (FI-map), which captures the idea of a typical generalized KKM-map, with no use of any generalized convexity structure and prove its full characterizations in terms of recent generaliz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79738a4d99cbf10f1e4b229624c5ba9a
https://doi.org/10.1007/s40840-016-0370-y
https://doi.org/10.1007/s40840-016-0370-y
Publikováno v:
Journal of Optimization Theory and Applications. 151:552-572
We prove theorems on continuous selections, collectively fixed points, collectively coincidence points, weak Knaster-Kuratowski-Mazurkiewicz mappings and provide their applications in various optimization-related problems. Each of our theorems is dem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f83a676635318d688e0ac9193370bf4
https://doi.org/10.1007/s10957-011-9889-0
https://doi.org/10.1007/s10957-011-9889-0
Akademický článek
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