On the relationships between \(G\)-preinvex functions and semistrictly \(G\)-preinvex functions. (English) Zbl 1154.90010

Authors’ abstract: A new class of functions, termed semistrictly \(G\)-preinvex functions, is introduced in this paper. The relationships between semistrictly \(G\)-preinvex functions and \(G\)-preinvex functions are investigated under mild assumptions. Our results improve and extend the existing ones in the literature.


90C26 Nonconvex programming, global optimization
26B25 Convexity of real functions of several variables, generalizations
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