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
Relation Contractive Selfmaps Involving Cauchy Sequences / Sessa, Salvatore. - In: ADVANCES IN PURE MATHEMATICS. - ISSN 2160-0368. - 9:5(2019), pp. 421-428. [10.4236/apm.2019.95020]
Relation Contractive Selfmaps Involving Cauchy Sequences
salvatore sessa
Secondo
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 completeFile in questo prodotto:
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