WEAK NONLINEAR BILEVEL PROBLEMS: EXISTENCE OF SOLUTIONS VIA REVERSE CONVEX AND CONVEX MAXIMIZATION PROBLEMS

Abdelmalek Aboussoror; Samir Adly; Vincent Jalby

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WEAK NONLINEAR BILEVEL PROBLEMS: EXISTENCE OF SOLUTIONS VIA REVERSE CONVEX AND CONVEX MAXIMIZATION PROBLEMS

机译：弱的非线性小问题：通过逆凸和凸最大化问题解的存在

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摘要

In this paper, for a class of weak bilevel programming problems we provide sufficient conditions guaranteeing the existence of global solutions. These conditions are based on the use of reverse convex and convex maximization problems.

机译：在本文中，对于一类较弱的双层编程问题，我们提供了保证全局解存在的充分条件。这些条件是基于使用反向凸和凸最大化问题。

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来源
《Journal of industrial and management optimization》 |2011年第3期|p.559-571|共13页
作者
Abdelmalek Aboussoror; Samir Adly; Vincent Jalby;
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作者单位

Universite Cadi Ayyad Faculte Polydisciplinaire de Safi B.P. 4162, Sidi Bouzid, Safi, Morocco;

Laboratoire XLIM UMR-CNRS 6172 Universite de Limoges Departement de Mathematiques 123 Avenue Albert Thomas 87060 Limoges Cedex, Prance;

Laboratoire XLIM UMR-CNRS 6172 Universite de Limoges Departement de Mathematiques 123 Avenue Albert Thomas 87060 Limoges Cedex, Prance;

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正文语种 eng
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关键词
two-level optimization; convex analysis; reverse convex programs; d.c. programs;

机译：两级优化;凸分析反向凸程序;直流电程式;

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WEAK NONLINEAR BILEVEL PROBLEMS: EXISTENCE OF SOLUTIONS VIA REVERSE CONVEX AND CONVEX MAXIMIZATION PROBLEMS

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