A Fixed Point Theorem in Probabilistic Metric Spaces with a Convex Structure
نویسنده
چکیده
The inequality Ffx;fy(qs) Fx;y(s) (s 0), where q 2 (0; 1), is generalized for multivalued mappings in many directions. Using Hausdor distance S.B. Nadler in [7] introduced a generalization of Banach contraction principle in metric spaces. In [3] the de nition of probabilistic Nadler q-contraction is given. Using some results given in [12] a xed point theorem on spaces with a convex structure is obtained. Some xed point theorems in such spaces are proved in [1, 2].
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