3 years ago

Sufficiency and duality in interval-valued variational programming

Anurag Jayswal, I. Ahmad, Jonaki Banerjee, S. Al-Homidan

Abstract

In the present paper, we focus our study on an interval-valued variational problem and derive sufficient optimality conditions by using the notion of invexity. In order to relate the primal interval-valued variational problem and its dual, several duality results, viz., weak, strong and converse duality results are established. Further, the Lagrangian function for the considered interval-valued variational problem is defined and we present some relations between an optimal solution of the considered interval-valued variational problem and a saddle point of the Lagrangian function. In order to illustrate the results proved in the paper, some examples of interval-valued variational problems have been formulated.

Publisher URL: https://link.springer.com/article/10.1007/s00521-017-3307-y

DOI: 10.1007/s00521-017-3307-y

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