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STUDIA MATHEMATICA - Issue no. 1 / 2015 | |||||||
Article: |
ON SOME GENERALIZATIONS OF NADLER’S CONTRACTION PRINCIPLE. Authors: . |
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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-Hausdorff metric we will study the properties of the fractal operator generated by a multivalued contraction. Mathematics Subject Classification (2010): 47H25, 54H10. Keywords: H+-type multivalued mapping, Lipschitz equivalent metric, multivalued operator, contraction. |
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