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Annisa Rahmita
Departemen Matematika, Fakultas Matematika Komputasi dan Sains Data, Institut Teknologi Sepuluh Nopember Surabaya

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Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space S. Sunarsini; S. Sadjidon; Annisa Rahmita
Jurnal ILMU DASAR Vol 20 No 1 (2019)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (409.923 KB) | DOI: 10.19184/jid.v20i1.6782

Abstract

In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of partial metric space is used to modify Banach's contraction principle. In this paper, we discuss weakly contractive mapping and weakly Kannan mapping which are extensions of Banach's contraction principle to partial metric space together some related examples. Additionally, we discuss someLemmas which are shows an analogy between Cauchy sequences in partial metric space with Cauchy sequences in metric space and analogy between the complete metric space and the complete partial metric space. Keywords: Cellulose metric space, partial metric space, weakly contraction mapping, weakly Kannan mapping.