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Generalized preinvex functions and their properties

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We introduce some new classes of preinvex and invex functions, which are called -preinvex and -invex functions. We study some properties of these classes of -preinvex ( -invex) functions. In particular, we establish the equivalence among the -preinvex functions, -invex functions, and η -monotonicity of their differential under some suitable conditions.


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