Lagrange Multipliers in Nonsmooth Semi-Infinite Optimization Problems

Xi Yin Zheng; Xiaoqi Yang

doi:10.1287/moor.1060.0234

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Lagrange Multipliers in Nonsmooth Semi-Infinite Optimization Problems

Xi Yin Zheng Xiaoqi Yang

Year: 2007 Journal: Mathematics of Operations Research Vol: 32 (1)Pages: 168-181 Publisher: Institute for Operations Research and the Management Sciences

DOI: 10.1287/moor.1060.0234

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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.

Keywords:

Mathematics Lagrange multiplier Mathematical optimization Constraint algorithm Optimization problem Applied mathematics

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Optimization and Variational Analysis

Physical Sciences → Computer Science → Computational Theory and Mathematics

Advanced Optimization Algorithms Research

Physical Sciences → Mathematics → Numerical Analysis

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Lagrange Multipliers in Nonsmooth Semi-Infinite Optimization Problems

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