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Multivalued convexity and optimization: a unified approach to inequality and equality constraint

Borwein, Jonathan M. (1977) Multivalued convexity and optimization: a unified approach to inequality and equality constraint. Math. Programming, 13 . pp. 183-199.

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Abstract

Multivalued functions satisfying a general convexity condition are examined in the first section. The second section establishes a general transposition theorem for such functions and develops an abstract multiplier principle for them. In particular both convex inequality and linear equality constraints are seen to satisfy the same generalized constraint qualification. The final section examines quasi-convex programmes.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 23 Feb 2015 14:51
Last Modified: 23 Feb 2015 14:51
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1669

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