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Duality for nondifferentiable minimax fractional programming problem involving higher order (C, alpha, rho, d)-convexity

为 nondifferentiable 得最高分的战略的两重性包含更高的顺序的部分编程问题(\varvec { C } , \varvec {\alpha } , \varvec {\rho } , \varvec { d }) 凸状

作     者:Jayswal, Anurag Singh, Vivek Kummari, Krishna 

作者机构:Indian Sch Mines Indian Inst Technol Dept Appl Math Dhanbad 826004 Jharkhand India 

出 版 物:《OPSEARCH》 (运筹学;印度运筹学会志)

年 卷 期:2017年第54卷第3期

页      面:598-617页

学科分类:1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主  题:Minimax fractional programming problem Nondifferentiable programming Higher-order duality Higher-order (C, alpha, rho, d)-convexity 

摘      要:In this paper, we present new class of higher-order (C, alpha, rho, d)-convexity and formulate two types of higher-order duality for a nondifferentiable minimax fractional programming problem. Based on the higher-order (C, alpha, rho, d)-convexity, we establish appropriate higher-order duality results. These results extend several known results to a wider class of programs.

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