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    STUDIA MATHEMATICA - Issue no. 4 / 2016  
         
  Article:   FIXED POINT THEOREMS FOR OPERATORS WITH A CONTRACTIVE ITERATE IN b-METRIC SPACES.

Authors:  .
 
       
         
  Abstract:   We consider, in this paper, mappings with a contractive iterate at a point, which are not contractions, and prove some uniqueness and existence results in the case of b-metric spaces. A data dependence result and an Ulam-Hyers stability result are also proved.

Mathematics Subject Classi fication (2010): 47H10, 54H25.

Keywords: Fixed point, b-metric space, contractive iterate, data dependence, Ulam-Hyers stability
 
         
     
         
         
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