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    STUDIA MATHEMATICA - Issue no. 4 / 2012  
         
  Article:   APPROXIMATE FIXED POINT THEOREMS FOR GENERALIZED T-CONTRACTIONS IN METRIC SPACES.

Authors:  . 		 
       
         
  Abstract:  In this paper, we introduce the concept of T-asymptotically regular mapping and establish a lemma for ϵ-fixed points of two commuting mappings in metric spaces. This lemma is used for proving approximate fixed point theorems for various types of contraction mappings in the framework of metric spaces. Our results in this paper extends and improves upon, among others, the corresponding results of Berinde given in [2].
Mathematics Subject Classification (2010): 47H09, 47H10, 54E35.

Keywords: ϵ-fixed point, approximate fixed point property, T-Banach contraction, T-Kannan contraction, T-Chatterjea contraction, T-Zamfirescu operators, T-almost contraction, metric space. 		 
         
     
         
         
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