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Zbl 1175.90365
Suneja, S.K.; Khurana, Seema; Vani
Generalized nonsmooth invexity over cones in vector optimization. (English)
[J] Eur. J. Oper. Res. 186, No. 1, 28-40 (2008). ISSN 0377-2217

Summary: $k$-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.
MSC 2000:
*90C29 Multi-objective programming, etc.
90C46 Optimality conditions, duality

Keywords: vector optimization problem; cones; nonsmooth quasi-invexity; nonsmooth pseudo-invexity; optimality; duality

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