Constrained Extremum Problems and Image Space Analysis
[TMCSC]
July 23, 2020 14:30-15:30
腾讯会议（线上）
SPEAKER
李声杰 （重庆大学）
ABSTRACT
Image space analysis is a new tool for studying scalar and vector constrained extremum problems as well as generalized systems. In the last decades, the introduction of image space analysis has shown that the image space associated with the given problem provides a natural environment for the Lagrange theory of multipliers and that separation arguments turn out to be a fundamental mathematical tool for explaining, developing and improving such a theory. In this talk, we aim at contributing to describe the state-of-the-art of image space analysis for constrained optimization and to stress that it allows us to unify and generalize the several topics of optimization. First, after a short introduction of such an analysis, we treat necessary and sufficient optimality conditions for constrained extremum problems. Then, we review its duality and penalization. Finally, we deal with generalized systems, in particular, variational inequalities and Ky Fan inequalities.
ORGANIZERS
黄南京（四川大学）
寇 辉（四川大学）
连 增（四川大学）
张德学（四川大学）
张伟年（四川大学）
SUPPORTED BY
国家天元数学西南中心
四川大学数学学院