The notion of higher-order B-type I functional is introduced in this paper.This notion is utilized to study optimality and duality for multiobjective semi-infinite variational problem in which the index set of inequal...The notion of higher-order B-type I functional is introduced in this paper.This notion is utilized to study optimality and duality for multiobjective semi-infinite variational problem in which the index set of inequality constraints is an infinite set.The concept of efficiency is used as a tool for optimization.Mond–Weir type of dual is proposed for which weak,strong,and strict converse duality theorems are proved to relate efficient solutions of primal and dual problems.展开更多
基金Jyoti was supported by University Grant Commission Non-NET research fellowship,India(No.Schs/Non-NET/139/Ext-142/2015-16/1931).
文摘The notion of higher-order B-type I functional is introduced in this paper.This notion is utilized to study optimality and duality for multiobjective semi-infinite variational problem in which the index set of inequality constraints is an infinite set.The concept of efficiency is used as a tool for optimization.Mond–Weir type of dual is proposed for which weak,strong,and strict converse duality theorems are proved to relate efficient solutions of primal and dual problems.
