Higher order optimality and duality in fractional vector optimization over cones

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Published: Sep 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2311
Keywords:
Fractional Programming Vector Optimization Higher Order Convex Cones Optimality Duality.

Main Article Content

Muskan Kapoor
Surjeet Kaur Suneja
Meetu Bhatia Grover

Abstract

In this paper we give higher order sufficient optimality conditions for a fractional vector optimization problem over cones, using higher order cone-convex functions. A higher order Schaible type dual program is formulated over cones.Weak, strong and converse duality results are established by using the higher order cone convex and other related functions.

Article Details

How to Cite
Kapoor, M., Suneja, S. K., & Grover, M. B. (2017). Higher order optimality and duality in fractional vector optimization over cones. Tamkang Journal of Mathematics, 48(3), 273–287. https://doi.org/10.5556/j.tkjm.48.2017.2311
Issue
Vol. 48 No. 3 (2017)
Section
Papers
Author Biographies

Muskan Kapoor

Department of Applied Mathematics, BPIT, GGSIPU, Delhi 110089, India.

Surjeet Kaur Suneja

Department of Mathematics, University of Delhi, Delhi 110007, India.

Meetu Bhatia Grover

Department of Mathematics,Miranda House, University of Delhi, Delhi 110007, India

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