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In this paper, the concepts of weak invexity and weak quasi invexity are introduced and the relations among several kinds of generalized invexity are studied for nonsmooth functions by means of the properties of limiting subdifferentials. In addition, the relations between generalized invexity of a nonsmooth function and generalized invariant monotonicity of its limiting subdifferential mapping are...
The notions of quasi-1 convexity, weak quasi-convexity and weak quasi-invexity are introduced. The relations among strict quasi-preinvexity, weak quasi-invexity and pseudo-invexity for a nonsmooth function are studied by means of the properties of the Clarke’s generalized subdifferential. As an application of the main results in this work, the relations among quasi-1 convexity, strict quasi-convexity,...
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