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1. THE VECTOR-VALUED VARIATIONAL PRINCIPLE IN BANACH SPACES ORDERED BY CONES WITH NONEMPTY INTERIORS.

Author

Bednarczuk, Ewa M. and rzybyła, Maciej J. P

Subjects
*VARIATIONAL principles, *MATHEMATICAL optimization, *MATHEMATICAL analysis, *MATHEMATICS, *VECTOR-valued measures, *MATHEMATICAL functions
Abstract

We prove sharpness of efficient solutions xk to vector optimization problems resulting from Ekeland vector variational principles. We achieve this by sharpening some of the existing vector variational principles and showing that xk remains efficient not only for perturbations in the direction k but also for other directions of perturbations. [ABSTRACT FROM AUTHOR]

Published
2007
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