Optimality and Duality for Multiobjective Semi-infinite Variational Problem Using Higher-Order B-type I Functions

Optimality and Duality for Multiobjective Semi-infinite Variational Problem Using Higher-Order B-type I Functions

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 fo...

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Veröffentlicht in:Journal of the Operations Research Society of China (Internet) 2021-06, Vol.9 (2), p.375-393
Hauptverfasser: Kumar, Promila, Dagar, Jyoti
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean space
Functionals
Inequality
Mathematical programming
Multiple objective analysis
Optimization
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Zusammenfassung: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.
ISSN:2194-668X
2194-6698
DOI:10.1007/s40305-019-00269-6