Non-smooth multiobjective programming problem involving (d I - ρ - σ)-V-type I functions

Pallavi Kharbanda, Divya Agarwal and Deepa Sinha

International Journal of Operational Research, 2014, vol. 21, issue 1, 1-24

Abstract: In this paper, we consider a multiobjective optimisation problem where the objective and constraint functions involved are non-differentiable. We introduce a new class of functions namely (d_I - ρ - σ)-V-type I functions and illustrate through non-trivial examples that the class introduced is non-empty. We then obtain sufficient optimality conditions under the newly introduced class of functions and derive various weak, strong, converse and strict converse duality results for Wolfe type and Mond-Weir type dual programmes in order to relate the efficient and weak efficient solutions of primal and dual problems.

Keywords: multiobjective optimisation; directional derivative; efficiency; d I -V-type I functions; non-smooth multiobjective programming. (search for similar items in EconPapers)
Date: 2014
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