Lagrange Multipliers in Nonsmooth Semi-Infinite Optimization Problems

Authors:
Xi Yin Zheng;Xiaoqi Yang
Affiliations:
Department of Mathematics, Yunnan University, Kunming 650091, Yunman, People's Republic of China;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, People's Republic of China
Venue:
Mathematics of Operations Research
Year:
2007

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Abstract

Using the variational analysis technique, in terms of the epi-coderivative, we provide Lagrange multiplier rules for a class of semi-infinite optimization problems where all functions are lower semicontinuous or locally Lipschitz.