Higher - order duality for multiobjective optimization problems containing support functions over cones

Meetu Bhatia Grover () and Muskan Kapoor ()
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Meetu Bhatia Grover: University of Delhi
Muskan Kapoor: University of Delhi

OPSEARCH, 2016, vol. 53, issue 3, No 4, 523-537

Abstract: Abstract In this paper a new class of higher order (F, ρ, σ)- type I functions over cones are defined for a multiobjective programming problem, which subsumes several known studied classes. A higher order Mond-Weir type dual program is formulated for a non-differentiable multiobjective programming problem over cones where the objective functions and the constraints contain support functions of compact convex sets in Rn. Weak and strong duality results are established by using the above defined functions.

Keywords: Multiobjective optimization; Higher order duality; (F; ρ; σ) - type I functions; Support functions (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12597-015-0242-5

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