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Sintunavarat, W., Plubtien, S. and Katchang, P. (2013) Fixed Point Result and Applications on a b-Metric Space Endowed with an Arbitrary Binary Relation. Fixed Point Theory and Applications, 2013, 296.
https://doi.org/10.1186/1687-1812-2013-296

has been cited by the following article:

• TITLE: Relation Contractive Selfmaps Involving Cauchy Sequences

  AUTHORS: Maria Luigia Diviccaro, Salvatore Sessa

  KEYWORDS: Cauchy Sequence, d-Self-Closed Relation, Relation Contraction, Relation Preserving

  JOURNAL NAME: Advances in Pure Mathematics, Vol.9 No.5, May 17, 2019

  ABSTRACT: We obtain two generalizations of a known theorem of A. Alam and M. Imdad (J. Fixed Point Theory Appl. 17 (2015) 693-702) showing that some standard proofs can be obtained involving only Cauchy sequences of the successive approximations. Suitable examples prove the effective generalization of our results in metric spaces not necessarily complete.