Second-order optimality conditions in locally Lipschitz multiobjective fractional programming problem with inequality constraints

Optimization ◽  
2021 ◽  
pp. 1-28
Author(s):  
Tran Van Su ◽  
Dinh Dieu Hang
2019 ◽  
Vol 26 (3) ◽  
pp. 393-404 ◽  
Author(s):  
Ramu Dubey ◽  
S. K. Gupta

Abstract The purpose of this paper is to study a nondifferentiable multiobjective fractional programming problem (MFP) in which each component of objective functions contains the support function of a compact convex set. For a differentiable function, we introduce the class of second-order {(C,\alpha,\rho,d)-V} -type-I convex functions. Further, Mond–Weir- and Wolfe-type duals are formulated for this problem and appropriate duality results are proved under the aforesaid assumptions.


2003 ◽  
Vol 68 (3) ◽  
pp. 449-459 ◽  
Author(s):  
X. M. Yang ◽  
X. Q. Yang ◽  
K. L. Teo

In this paper, we first discuss some basic properties of semipreinvex functions. We then show that the ratio of semipreinvex functions is semipreinvex, which extends earlier results by Khan and Hanson [6] and Craven and Mond [3]. Finally, saddle point optimality criteria are developed for a multiobjective fractional programming problem under semipreinvexity conditions.


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