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

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

作者机构：Department of Mathematics Faculty of Science University of Rajasthan 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文))

年 卷 期：2023年第43卷第3期

页      面：303-312页

核心收录：

学科分类：07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

主　　题：E-convexity higher order (F,α, β, ρ, d,E)-convexity optimality conditions duality fractional programming 

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.