Second-order duality for a nondifferentiable minimax fractional programming under generalized α -univexity

摘要

In this paper, we concentrate our study to derive appropriate duality theorems for two types of second-order dual models of a nondifferentiable minimax fractional programming problem involving second-order α-univex functions. Examples to show the existence of α-univex functions have also been illustrated. Several known results including many recent works are obtained as special cases. MSC:49J35, 90C32, 49N15.