Compatibility of some systems of inequalities
In this paper, necessary and sufficient conditions for the compatibility of some systems of quasi-convex, or convex inequalities are established. Finally a new proof for a theorem of Shioji and Takahashi (1988) [10] is given.
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Format: | Article |
Language: | English |
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Publishing House of the Romanian Academy
2003-02-01
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Series: | Journal of Numerical Analysis and Approximation Theory |
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Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/729 |
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author | Mircea Balaj |
author_facet | Mircea Balaj |
author_sort | Mircea Balaj |
collection | DOAJ |
description | In this paper, necessary and sufficient conditions for the compatibility of some systems of quasi-convex, or convex inequalities are established. Finally a new proof for a theorem of Shioji and Takahashi (1988) [10] is given. |
first_indexed | 2024-04-13T04:30:38Z |
format | Article |
id | doaj.art-a6d1f423aa674befac08bcb27a848157 |
institution | Directory Open Access Journal |
issn | 2457-6794 2501-059X |
language | English |
last_indexed | 2024-04-13T04:30:38Z |
publishDate | 2003-02-01 |
publisher | Publishing House of the Romanian Academy |
record_format | Article |
series | Journal of Numerical Analysis and Approximation Theory |
spelling | doaj.art-a6d1f423aa674befac08bcb27a8481572022-12-22T03:02:21ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2003-02-01321Compatibility of some systems of inequalitiesMircea Balaj0University of Oradea, RomaniaIn this paper, necessary and sufficient conditions for the compatibility of some systems of quasi-convex, or convex inequalities are established. Finally a new proof for a theorem of Shioji and Takahashi (1988) [10] is given.https://ictp.acad.ro/jnaat/journal/article/view/729quasi-convex inequalitiesconcave-convex-like functionminimax inequality |
spellingShingle | Mircea Balaj Compatibility of some systems of inequalities Journal of Numerical Analysis and Approximation Theory quasi-convex inequalities concave-convex-like function minimax inequality |
title | Compatibility of some systems of inequalities |
title_full | Compatibility of some systems of inequalities |
title_fullStr | Compatibility of some systems of inequalities |
title_full_unstemmed | Compatibility of some systems of inequalities |
title_short | Compatibility of some systems of inequalities |
title_sort | compatibility of some systems of inequalities |
topic | quasi-convex inequalities concave-convex-like function minimax inequality |
url | https://ictp.acad.ro/jnaat/journal/article/view/729 |
work_keys_str_mv | AT mirceabalaj compatibilityofsomesystemsofinequalities |