On some generalizations of Nadler's contraction principle
Keywords:
H -type multivalued mapping, Lipschitz equivalent metric, multivalued operator, contraction.Abstract
The purpose of this work is to present some generalizations of the well known Nadler's contraction principle. More precisely, using an axiomatic approach of the Pompeiu-Hausdor_ metric we will study the properties of the fractal operator generated by a multivalued contraction.
Mathematics Subject Classification (2010): 47H25, 54H10.
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