Global minimization of the difference of strictly non-positive valued affine ICR functions. (English) Zbl 1339.90264
Summary: In this paper, non-positive valued affine increasing and co-radiant (ICR) functions are defined in the framework of abstract convexity. The basic properties of this class of functions such as support set and subdifferential are presented. As an application, we give optimality conditions for the global minimum of the difference of two strictly non-positive valued affine ICR functions.
Keywords:
global optimization; abstract convexity; non-positive valued affine ICR function; subdifferential; support setReferences:
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