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

Wang, Q.; Li, S.; Teo, Kok Lay

doi:10.3934/naco.2011.1.417

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Authors

Wang, Q.

Li, S.

Teo, Kok Lay

Date

2011

Type

Journal Article

Metadata

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Citation

Wang, Q. and Li, S. and Teo, K.L. 2011. Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization. Numerical Algebra, Control and Optimization. 1 (3): pp. 417-433.

Source Title

Numerical Algebra, Control and Optimization

DOI

10.3934/naco.2011.1.417

ISSN

2155-3289

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/33188

Collection

Curtin Research Publications

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.