Hermite-Hadamard type inequalities for operator s-preinvex functions

In this paper, we introduce the concept of operator s-preinvex function, establish some new Hermite- Hadamard type inequalities for operator s-preinvex functions, and provide the estimates of both sides of Hermite-Hadamard type inequality in which some operator s-preinvex functions of positive selfadjoint operators in Hilbert spaces are involved.