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Cubo (Temuco)

On-line version ISSN 0719-0646


LIU, Xiaoling et al. Multiple Objective Programming Involving Differentiable (Hp, r)-invex Functions. Cubo [online]. 2011, vol.13, n.1, pp.125-136. ISSN 0719-0646.

In this paper, we introduce new types of generalized convex functions which include locally (Hp, r)-pre-invex functions and (Hp, r)-invex functions. Relationship between these two new classes of functions are established. We also present the conditions for optimality in differentiable mathematical programming problems where the functions considered are (Hp, r)-invex functions introduced in this paper.

Keywords : Differentiable mathematical programming.

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