| In this paper, we first introduce a new space, namely W-Space, and use the conditions of the converse commutativity and commuting points to present several theorems of common fixed points; Secondly we use the metric on a complete metric spaces to induce Hausdorff metric, and consider the set-valued mappings with nonempty value satisfying the condition with some variable coefficients or(?)-contractive condition. Furthermore, we give the theorems of common fixed points for a pare of mappings and the sufficient condition with uniqueness; Finally we discuss some existent problems of unique common fixed point for a infinite number of family of mappings satisfying some kind of the quasi-contractive condition on TVS-valued cone metric spaces, and we obtain several important results. The obtained results in this paper generalize and improve the corresponding conclusions in literatures and other papers... |