%0 Journal Article
%T Relation Contractive Selfmaps Involving Cauchy Sequences
%A Maria Luigia Diviccaro
%A Salvatore Sessa
%J Advances in Pure Mathematics
%P 421-428
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.95020
%X
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.
%K Cauchy Sequence
%K <
%K i>
%K d<
%K /i>
%K -Self-Closed Relation
%K Relation Contraction
%K Relation Preserving
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=92461