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Home  >  Volume 41

1. Necessary optimality conditions for non-smooth quasi-convex functions in a real reflexive banach space by Efor T. E and Osisiogu U .A
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Abstract

In this paper, we first reviewed the concept of quasi-monotone maps and the characterizations of lower-semi-continuous quasi-convex functions in terms of generalized Clarke and Rockafella sub-differentials. The paper used the properties of normal cones, which consists of all directions being normal to sub-differential of function f at a point x_0 to establish necessary optimality conditions for non-smooth quasi-convex functions in a real Reflexive Banach space.

  Keywords: Non-smooth, Normal cones, quasi-convex function, Sub-differential, Reflexive Spaces

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