College of Mathematics and Information Science, Henan Normal University, P.R. China, 453007. E-mail: songyisheng123@yahoo.com.cn
AMS subject classification: 41A50, 47H10, 54H25.
Let (E, d) be a metric space, and T, f: E → E two self-mappings with T (E) ⊂ f (E). Assumed that either or f (E) is complete, and T is f-weakly contractive mapping, then the coincidence points of T, f is nonempty. If, in addition, (T, f) is weakly compatible, then T, f has the unique common fixed point. Our results unify, generalize and complement various known results existing in the literature.
Common fixed points, coincidence points, f-weakly contractive mappings, weakly compatible mappings
