Correspondence between a new class of generalized cone convexity and higher order duality

Arshpreet Kaur () and Mahesh K Sharma ()
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Arshpreet Kaur: Thapar Institute of Engineering and Technology
Mahesh K Sharma: Thapar Institute of Engineering and Technology

OPSEARCH, 2022, vol. 59, issue 2, No 6, 550-560

Abstract: Abstract In this paper, a new class of generalized higher order cone convex functions is first introduced. A fractional nondifferentiable vector optimization problem is discussed in which each component of objective and constraints contain support function. Then a Schaible type dual model is constructed for this vector programming problem. Lastly weak and strong duality theorems are formulated and proved.

Keywords: Higher order cone convex function; Higher order duality; Vector optimization problem; Support function; Higher order $$K - \left( {C; \alpha; \gamma; \rho; d} \right)$$ K - C; α; γ; ρ; d; 90C26; 90C29; 90C30; 90C32 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s12597-021-00526-4

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