The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

  
       
         
    STUDIA MATHEMATICA - Issue no. 1 / 2014  
         
  Article:   A NOTE ON ZAMFIRESCU`S OPERATORS IN KASAHARA SPACES.

Authors:  ALEXANDRU-DARIUS FILIP. 		 
       
         
  Abstract:   The aim of this paper is to give local and global fixed point results for Zamfirescu`s operators in Kasahara spaces. Since the domain invariance for Zamfirescu`s operators is not always satisfied, we use in our proofs the successive approximations method. Our local results extend and generalize Krasnoselskii`s local fixed point theorem by replacing the context of metric space with a more general one: the Kasahara space. On the other hand, instead of contractions we use Zamfirescu`s operators. As application, a homotopy result on large Kasahara spaces is given.

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

Keywords: Fixed point, Zamfirescu`s operator, Kasahara space, large Kasahara space, premetric, sequence of successive approximation.
 
         
     
         
         
      Back to previous page