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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.