Generalized Connected Functions with Respect to Cones |
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| Authors: | Suneja S. K. Aggarwal S. Davar S. |
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| Affiliation: | (1) Department of Mathematics, Miranda House, University of Delhi, Delhi, India;(2) Department of Mathematics, Miranda House, University of Delhi, Delhi, India;(3) Department of Mathematics, St. Stephen's College, University of Delhi, Delhi, India |
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| 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. |
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| Keywords: | vector-valued minimization arcwise connected functions cones weak minima duality |
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