Second-order multiobjective programming problems and symmetric duality relations with $${G_{f}}$$ G f -bonvexity

S. K. Gupta (), Ramu Dubey () and Indira P. Debnath ()
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S. K. Gupta: Indian Institute of Technology Roorkee
Ramu Dubey: Indian Institute of Technology Roorkee
Indira P. Debnath: Indian Institute of Technology Roorkee

OPSEARCH, 2017, vol. 54, issue 2, No 8, 365-387

Abstract: Abstract In this paper, we have introduced the definition of $${G_{f}}$$ G f -bonvex function. To show the existence of such a function, we have also discussed a non-trivial example. Further, second-order G-Wolfe and G-Mond–Weir type primal-dual pairs have been formulated and appropriate duality results have been proved under aforesaid assumptions.

Keywords: Symmetric duality; Nonlinear programming; G f -bonvexity; G-Wolfe and G-Mond–Weir type model; 90C26; 90C30; 90C32; 90C46 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s12597-016-0280-7

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