Generalized Connected Functions with Respect to Cones

S. K. Suneja, S. Aggarwal and S. Davar
Additional contact information
S. K. Suneja: University of Delhi
S. Aggarwal: University of Delhi
S. Davar: University of Delhi

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 2, No 8, 399-410

Abstract: Abstract In this paper, generalized connected functions with respect to cones such as quasi cone-connected, pseudo cone-connected, strongly pseudo cone-connected, and strictly pseudo cone-connected functions are introduced; necessary and sufficient optimality conditions are obtained for a weak minimum, a minimum, and a strong minimum of a vector-valued minimization problem. A Mond–Weir type dual is associated, and weak and strong duality results are established.

Keywords: vector-valued minimization; arcwise connected functions; cones; weak minima; duality (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1004659732181

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