Generalized nonsmooth invexity over cones in vector optimization

In this paper K-nonsmooth quasi-invex and (strictly or strongly) K-nonsmooth pseudo-invex functions are defined. By utilizing these new concepts, the Fritz–John type and Kuhn–Tucker type necessary optimality conditions and number of sufficient optimality conditions are established for a nonsmooth ve...

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Bibliographic Details
Published in:European journal of operational research 2008-04, Vol.186 (1), p.28-40
Main Authors: Suneja, S.K., Khurana, Seema, Vani
Format: Article
Language:English
Subjects:
Applied sciences
Cones
Duality
Exact sciences and technology
Mathematical functions
Nonsmooth pseudo-invexity
Nonsmooth quasi-invexity
Operational research. Management science
Optimality
Optimization
Studies
Vector optimization problem
Vector space
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Summary:In this paper K-nonsmooth quasi-invex and (strictly or strongly) K-nonsmooth pseudo-invex functions are defined. By utilizing these new concepts, the Fritz–John type and Kuhn–Tucker type necessary optimality conditions and number of sufficient optimality conditions are established for a nonsmooth vector optimization problem wherein Clarke’s generalized gradient is used. Further a Mond Weir type dual is associated and weak and strong duality results are obtained.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2007.01.047