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

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AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jimo.2011.7.559

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Two-level optimization; convex analysis; reverse convex programs; d.c. programs

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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.

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