Vector optimization over cones involving support functions using generalized $$(\Phi,\rho )$$ ( Φ, ρ ) -convexity

Malti Kapoor ()
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Malti Kapoor: Motilal Nehru College (University of Delhi South Campus)

OPSEARCH, 2017, vol. 54, issue 2, No 7, 364 pages

Abstract: Abstract In this paper we introduce new classes of cone- $$(\Phi ,\rho )$$ ( Φ , ρ ) -convex functions which extend several generalized convexity notions introduced in the literature. We then employ the defined functions to study optimality and duality results for a vector optimization problem over cones involving support functions. A numerical example is given to illustrate the notions introduced and the results proved.

Keywords: Optimality; Duality; Vector optimization over cones; Support function; $$({\Phi }; {\rho })$$ ( Φ; ρ ) -convexity; 90C26; 90C29; 90C46 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12597-016-0279-0

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