
doi: 10.1051/ro/2019044
In this article, we study the existence of Gf-bonvex/Gf -pseudo-bonvex functions and construct various nontrivial numerical examples for the existence of such type of functions. Furthermore, we formulate Mond-Weir type second-order nondifferentiable multiobjective programming problem and give a nontrivial concrete example which justify weak duality theorem present in the paper. Next, we prove appropriate duality relations under aforesaid assumptions.
support function, \(G_f\)-pseudo-bonvexity, Mond-Weir type model, \(G_f\)-bonvexity, nondifferentiable, Optimality conditions and duality in mathematical programming, Fractional programming, Nonconvex programming, global optimization, symmetric duality
support function, \(G_f\)-pseudo-bonvexity, Mond-Weir type model, \(G_f\)-bonvexity, nondifferentiable, Optimality conditions and duality in mathematical programming, Fractional programming, Nonconvex programming, global optimization, symmetric duality
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