Continuity  of second-order adjacent derivatives for weak perturbation maps in vector optimization

Qilin Wang; Shengji Li; Kok Lay Teo

doi:10.3934/naco.2011.1.417

Article Contents

2011, Volume 1, Issue 3: 417-433. Doi: 10.3934/naco.2011.1.417

This issue Previous Article On linear vector optimization duality in infinite-dimensional spaces Next Article Orbital transfers: optimization methods and recent results

Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization

1.
College of Mathematics and Science, Chongqing University, Chongqing 400044
2.
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331
3.
Department of Mathematics and Statistics, Curtin University, G.P.O. Box U1987, Perth, WA 6845

Received: April 2011

Revised: July 2011

Published: August 2011

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Abstract

In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustrating our results.

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Mathematics Subject Classification: 49K40, 90C31, 54C60.

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