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.

Bibliographic Details
Main Author: Mircea Balaj
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2003-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
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.
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2501-059X
language English
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publisher Publishing House of the Romanian Academy
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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