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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.

MSC:

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

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