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

  • Promila Kumar
  • Jyoti DagarEmail author
Article
  • 7 Downloads

Abstract

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.

Keywords

Semi-infinite Variational problem Efficient solution Higher-order B-type I functions Optimality and duality 

Mathematics Subject Classification

90C46 90C29 90C34 

Notes

Acknowledgements

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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Copyright information

© Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsGargi College, University of DelhiNew DelhiIndia
  2. 2.Department of Mathematics, Faculty of Mathematical SciencesUniversity of DelhiNew DelhiIndia

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