Optimality and Duality for Multiobjective Semi-infinite Variational Problem Using Higher-Order B-type I Functions
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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.
KeywordsSemi-infinite Variational problem Efficient solution Higher-order B-type I functions Optimality and duality
Mathematics Subject Classification90C46 90C29 90C34
The authors are grateful to Professor (Mrs.) Davinder Bhaita (Rtd.) from Department of Operational Research for her kind guidance throughout the preparation of this paper.
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