Acta Mathematica Vietnamica
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ON THE PROBABILISTIC HAUSDORFF DISTANCE AND FIXED POINT THEOREMS FOR MULTIVALUED CONTRACTIONS
DO HONG TANpp. 61-68
Abstract
As is known, the Hausdorff distance plays an important role in fixed point theory for multivalued mappings. The aim of this note is to establish a relationship between the probabilistic Hausdorff distance and the usual one, and some fixed point theorems for multivalued contractions in Menger spaces.