### NEW ASPECTS OF STRONGLY Log-PREINVEX FUNCTIONS

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#### Abstract

In this paper, we consider some new classes of log-preinvex functions. Several properties of the log-preinvex functions are studied. We also discuss their relations with convex functions. Several interesting results characterizing the log-convex functions are obtained. Optimality conditions of differentiable strongly $\log$-preinvex are characterized by a class of variational-like inequalities. Results obtained in this paper can be viewed as significant improvement of previously known results.

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DOI: https://doi.org/10.22190/FUMI200812058N

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