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Semi-invex functions and their subdifferentials

Published:1997-12 Issue:3 Volume:56 Page:385-393
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Dutta J.,Vetrivel V.,Nanda S.

Abstract

We introduce the notion of semi-invex function (non-smooth) and the associated subdifferential. We study their properties and establish the conditions for optimality in constrained and unconstrained minimisation problems.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. Calcul sous-differentiel et optimisation

2. On sufficiency of the Kuhn-Tucker conditions

3. Nondifferentiable optimization by smooth approximations

4. Invexity and generalized convexity

5. Necessary optimality conditions with a modified subdifferential

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized Stampacchia Vector Variational-Like Inequalities and Vector Optimization Problems Involving Set-Valued Maps;Abstract and Applied Analysis;2014

2. Optimality Conditions for Quasiconvex Programs;SIAM Journal on Optimization;2006-01

3. Characterization of Solution Sets of Quasiconvex Programs;Journal of Optimization Theory and Applications;2003-06

4. Necessary Optimality Conditions with Subdifferentials of Semi-Invex Functions;Nonconvex Optimization and Its Applications;2001

5. Optimality and Duality with Generalized Semi — Univexity;OPSEARCH;2000-12

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