In this paper the stability theorem of Borkar and Meyn is extended to include\nthe case when the mean field is a differential inclusion. Two different sets of\nsufficient conditions are presented that guarantee the stability and\nconvergence of stochastic recursive inclusions. Our work builds on the works of\nBenaim, Hofbauer and Sorin as well as Borkar and Meyn. As a corollary to one of\nthe main theorems, a natural generalization of the Borkar and Meyn Theorem\nfollows. In addition, the original theorem of Borkar and Meyn is shown to hold\nunder slightly relaxed assumptions. Finally, as an application to one of the\nmain theorems we discuss a solution to the approximate drift problem.\n