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Weak tangent cones and optimization in a Banach space

Borwein, Jonathan M. (1978) Weak tangent cones and optimization in a Banach space. SIAM Journal on Control and Optimization, 16 . pp. 512-522. ISSN 0363-0129

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Abstract

A general notion of a r-tangent cone is introduced and developed for optimization purposes. This includes as special cases both the weak and strong tangent cones that appear in the literature. First order conditions with and without constraint qualification are examined and particular examples are provided to demonstrate that these conditions properly subsume those previously in the literature. Emphasis is placed on weak Kuhn–Tucker sufficiency conditions.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 23 Feb 2015 14:36
Last Modified: 23 Feb 2015 14:36
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1664

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