ON SOLUTION SET FOR CONVEX OPTIMIZATION PROBLEM WITH CONVEX INTEGRABLE OBJECTIVE FUNCTION AND GEOMETRIC CONSTRAINT SET

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Published: Feb 15, 2016
DOI: https://doi.org/10.14403/jcms.2016.29.1.29
Keywords:
solution set, subdifferential, convex optimization problem, convex integrable objective function, geometric constraint set
Mathematics Subject Classification (2020):
Primary 90C25, 90C30, Secondary 90C46

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Gue Myung Lee
Department of Applied Mathematics, Pukyong National University
Jae Hyoung Lee
Department of Applied Mathematics, Pukyong National University

Abstract





In this paper, we consider a convex optimization problem with a convex integrable objective function and a geometric constraint set. We characterize the solution set of the problem when we know its one solution.





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Article Details

Issue
Vol. 29 No. 1 (2016)
Section
Articles