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    STUDIA MATHEMATICA - Issue no. 1 / 2015  
         
  Article:   ON SOME GENERALIZATIONS OF NADLER’S CONTRACTION PRINCIPLE.

Authors:  .
 
       
         
  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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