Higher-Order (F,α,β,ρ,d,E)-Convexity in Fractional Programming  

作　　者：Himanshu TIWARI Seema MEENA Deepak KUMAR D.B.OJHA 

机构地区：[1]Department of Mathematics,Faculty of Science,University of Rajasthan,Jaipur 302004,India

出　　处：《Journal of Mathematical Research with Applications》2023年第3期303-312,共10页数学研究及应用（英文版）

摘　　要：In this paper we define higher order (F,α,β,ρ,d,E)-convex function with respect to E-differentiable function K and obtain optimality conditions for nonlinear programming problem (NP) from the concept of higher order (F,α,β,ρ,d)-convexity. Here, we establish Mond-Weir and Wolfe duality for (NP) and utilize these duality in nonlinear fractional programming problem.

关 键 词：E-convexity higher order(F α β ρ d E)-convexity optimality conditions DUALITY fractional programming 

分 类 号：O221[理学—运筹学与控制论]