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Remarks on Lagrange Multiplier Rules in Set Valued Optimization

Year: 2016

Type: preprint

Abstract: In this note, three Lagrange multiplier rules introduced in the literature for set valued optimization problems are compared. A generalization of all three results is given which proves that under rather mild assumptions, $x$ is a weak solution to the constrained problem, if and only if it is a weak solution to the Lagrangian.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1612.00255

Author: Schrage, Carola

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2560833210

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