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MMN-1087

Optimality conditions and duality in multiobjective fractional programming involving right upper-dini-derivative functions

Anurag Jayswal; Izhar Ahmad; Krishna Kummari;

Abstract

In this paper, we introduce ρ− generalized pseudo and ρ− generalized quasi with the tool right upper-Dini- deivative and illustrated these by non-trivial examples. Necessary and sufficient optimality conditions are obtained for a nonlinear multiobjective fractional programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Furthermore, usual duality theorems are proved for a general dual problem using the concept of generalized convex functions. Our results generalize and extend the several results appeared in the literature.


Vol. 16 (2015), No. 2, pp. 887-906
DOI: 10.18514/MMN.2015.1087


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