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Necessary optimality conditions for a set valued fractional programming problem in terms of contingent epiderivatives

Gadhi A. N., Idrissi M. El.

Control and Cybernetics

2018

Vol. 47, no. 2

147--156

In this paper, we are concerned with a multi-objective fractional extremal programming problem. Using the concept of subdiﬀerential of cone-convex set valued mappings, introduced by Baier and Jahn (1999), together with the convex separation principle, we give necessary optimality conditions. An example illustrating the usefulness of our results is also provided.