Some Characterizations of General Preinvex Functions

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Muhammad Uzair Awan, Muhammad Aslam Noor, Vishnu Narayan Mishra, Khalida Inayat Noor, Some Characterizations of General Preinvex Functions, Int. J. Anal. Appl., 15 (1) (2017), 46-56.

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Muhammad Uzair Awan, Muhammad Aslam Noor, Vishnu Narayan Mishra, Khalida Inayat Noor

Abstract

In this paper, we consider a new class of general preinvex functions involving an arbitrary function. We show that the optimality condition for general preinvex functions on general invex set can be characterized by a class of variational-like inequality. We also derive some integral inequalities of Hermite-Hadamard type via general preinvex functions. Some special cases are also discussed. Our results represent a significant refinement of the previously known results. These results may stimulate further research in this area.

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