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

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  • Malti Kapoor

    (Motilal Nehru College (University of Delhi South Campus))

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.

Suggested Citation

  • Malti Kapoor, 2017. "Vector optimization over cones involving support functions using generalized $$(\Phi ,\rho )$$ ( Φ , ρ ) -convexity," OPSEARCH, Springer;Operational Research Society of India, vol. 54(2), pages 351-364, June.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:2:d:10.1007_s12597-016-0279-0
    DOI: 10.1007/s12597-016-0279-0
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    References listed on IDEAS

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    1. Igor V. Konnov & Dinh The Luc & Alexander M. Rubinov, 2006. "Generalized Convexity and Related Topics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-37007-9, December.
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