... proceeding the proof of Theorem 2.1,we get some v0∈ X such that fv0ωv0,Tv0 0andv0∈ Tv0.Following the proof of Theorem 2.2, we can obtain the following result.Theorem ... interesting result by replacing the hypothesis iii of Theorem 2.1 with another natural condition.Theorem 2.2. Suppose that all the hypotheses of Theorem 2.1 except (iii) hold. Assume thatinf{ωx, ... FixT/ ∅.Using the concept of the Hausdorff metric, many authors have generalized Nadler’scontraction principle in many directions. But, in fact for most cases the existence part of the results...