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On Characterizing Solution Sets of Nonsmooth B-Preinvex Optimization Problems

Keywords: nonsmooth B-preinvex optimization , Clarke’s subdifferential , solution sets

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Abstract:

In this paper, various characterizations of optimal solution sets of nonsmooth B-preinvex optimization problems with inequality constrains are given. Firstly, making use of Clarke’s subdifferential, we establish the optimality condition for this kind of optimization problem; secondly, we presented a property about the solution set S of constrained B-preinvex optimization proble; finally, five equivalent characterizations of the solution set are obtained, that is,* An example is given to illustrate that five solution sets are equal, i.e. S={0}.(* Indicates a formula, please see the full text)

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