A New Approach on Mixed-Type Nondifferentiable Higher-Order Symmetric Duality

作     者：Khushboo Verma Pankaj Mathur Tilak Raj Gulati 

作者机构：Department of Mathematics and AstronomyUniversity of LucknowLucknow 226001India Department of MathematicsIndian Institute of Technology RoorkeeRoorkee 247667India 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2019年第7卷第2期

页      面：321-335页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The research of Khushboo Verma was supported by the Department of Atomic Energy Govt.of India the NBHM Post-Doctoral Fellowship Program(No.2/40(31)/2015/RD-II/9474) 

主　　题：Higher-order dual model Symmetric duality Duality theorems Higher-order invexity/generalized invexity Self duality 

摘      要：In this paper,a new mixed-type higher-order symmetric duality in scalar-objective programming is *** the literature we have results either Wolfe or Mond–Weir-type dual or separately,while in this we have combined those results over one *** weak,strong and converse duality theorems are proved for these programs underη-invexity/η-pseudoinvexity ***-duality is also *** results generalize some existing dual formulations which were discussed by Agarwal et al.(Generalized second-order mixed symmetric duality in nondifferentiable mathematical ***://***/10.1155/2011/103597),Chen(Higher-order symmetric duality in nonlinear nondifferentiable programs),Gulati and Gupta(Wolfe type second order symmetric duality in nondifferentiable ***.310,247–253,2005,Higher order nondifferentiable symmetric duality with generalized ***.329,229–237,2007),Gulati and Verma(Nondifferentiable higher order symmetric duality under invexity/generalized *** 28(8),1661–1674,2014),Hou andYang(On second-order symmetric duality in nondifferentiable programming.J Math Anal Appl.255,488–491,2001),Verma and Gulati(Higher order symmetric duality using generalized ***:Proceeding of 3rd International Conference on Operations Research and Statistics(ORS).***://***/10.5176/2251-1938_ORS13.16,Wolfe type higher order symmetric duality under invexity.J Appl Math Inform.32,153–159,2014).