A Parametric Approach to Non-Convex Optimal Control Problem

S. Mishra, J. R. Nayak

Department of Mathematics, Siksha O Anusandhan University, Bhubaneswar, India.
Department of Mathematics, Sudhananda Engineering and Research Centre, Bhubaneswar, India.

DOI: 10.4236/ajor.2014.42006                

Abstract

In this paper we have considered a non convex optimal control problem and presented the weak, strong and converse duality theorems. The optimality conditions and duality theorems for fractional generalized minimax programming problem are established. With a parametric approach, the functions are assumed to be pseudo-invex and v-invex.

Keywords

Non Convex Programming; Pseudo-Invex Functions; V-Invex Functions; Fractional Minimax Programming

Conflicts of Interest

The authors declare no conflicts of interest.

References

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