We consider in this paper the class of preinvex functions introduced by T. Weir Ž and co-workers 1988, J. Math. Anal. Appl. 136, 29᎐38; 1988, Bull. Austral. Math. . Soc. 38, 177᎐189 . Under semi-continuity conditions, a determination of the satisfaction of preinvexity for a function can be achieved via an intermediate-point preinvexity check. A characterization of a preinvex function in terms of its relationship with an intermediate-point preinvexity and prequasi-invexity is provided. ᮊ

No abstract

This article is concerned with a pair of second-order symmetric dual non-differentiable programs and second-order F-pseudo-convexity. We establish the weak and the strong duality theorems for the new pair of dual models under the F-pseudo-convexity assumption. Several known results including Mond and Schechter, as well as others are obtained as special cases.

No abstract

No abstract