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

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  • 1. Department of Mathematics, Gargi College, University of Delhi, New Delhi 110049, India;
    2. Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, New Delhi 110007, India

Received date: 2018-11-01

  Revised date: 2019-03-02

  Online published: 2021-06-08

Supported by

Jyoti was supported by University Grant Commission Non-NET research fellowship,India (No.Schs/Non-NET/139/Ext-142/2015-16/1931).

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.

Cite this article

Promila Kumar, Jyoti Dagar . Optimality and Duality for Multiobjective Semi-infinite Variational Problem Using Higher-Order B-type I Functions[J]. Journal of the Operations Research Society of China, 2021 , 9(2) : 375 -393 . DOI: 10.1007/s40305-019-00269-6

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