Duality for Non-differentiable Multi-objective Fractional Variational Problem

Authors

  • promila Kumar University of Delhi
  • Bharti Sharma University of Delhi

DOI:

https://doi.org/10.30495/jme.v11i0.547

Keywords:

Multiobjective, Non-differentiable, Fractional, Variational problem, Efficiency of higher order, Invexity, Optimality, Duality.

Abstract

In this paper, we have introduced efficiency of order m for a class of non-differentiable multi-objective variational problems in which every component of the objective and constraint function contains a term involving the square root of a certain positive semidefinite quadratic form. Necessary optimality conditions are obtained for this solution concept . Parametric dual of non-differentiable multi-objective fractional variational problem is proposed. Duality theorems are proved to relate efficient solutions of order m for primal problem and its dual. These results are obtained using generalized

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Published

2017-08-02

Issue

Vol. 11

Section

Vol. 11, No. 4, (2017)

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