MULTIVALUED PROBABILISTIC q–CONTRACTION

Tatjana Žikić

   The inequality F_fx,fy(qs) ≥ F_x,y(s) (s ≥ 0), where q ∈ (0, 1), introduced by Sehgal and Bharucha-Reid was generalized for multi-valued mappings in many directions. Elsewhere, using Hausdorff distance, S. B. Nadler introduced a generalization of Banach contraction principle for multivalued mappings in metric spaces. Elswhere the definition of probabilistic Nadler q-contraction was given. In this paper a coincidence point theorem for three mappings, which is a generalization of the fixed point theorem for probabilistic Nadler q-contraction, is proved.

Keywords: multivalued mappings, coincidence point, probabilistic metric space, Menger space, triangular norm

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