On the Steinness of strongly convex K$$\ddot{a}$$hler Finsler manifolds

In this paper, we study Steinness of nonpositively or nonnegatively curved strongly convex Kahler Finsler manifolds. In particular, we prove that every strongly convex Kahler Finsler manifold with a pole and nonpositive bisectional curvature must be Stein. In addition, every complete noncompact and strongly convex Kahler Berwald manifold is Stein if it has positive flag curvature everywhere, or it has nonnegative flag curvature and everywhere positive holomorphic bisectional curvature.