Article
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Relation Contractive Selfmaps Involving Cauchy Sequences
Version 1
: Received: 12 September 2018 / Approved: 13 September 2018 / Online: 13 September 2018 (03:16:34 CEST)
How to cite: Diviccaro, M. L.; Sessa, S. Relation Contractive Selfmaps Involving Cauchy Sequences. Preprints 2018, 2018090226. https://doi.org/10.20944/preprints201809.0226.v1 Diviccaro, M. L.; Sessa, S. Relation Contractive Selfmaps Involving Cauchy Sequences. Preprints 2018, 2018090226. https://doi.org/10.20944/preprints201809.0226.v1
Abstract
We obtain two generalizations of a known theorem of A. Alam and M. Imdad (Fixed Point Theory Appl. 17 (2015) 693–702) showing that some standard proofs can be obtained involving only Cauchy sequences of the successive approximations instead of the usual successive approximations sequences. Suitable examples prove the effective generalization of our results in metric spaces not necessarily complete.
Keywords
Cauchy sequence; d-self-closed relation; relation contraction; relation preserving
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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