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Controlled Metric Type Spaces and the Related Contraction Principle

Controlled Metric Type Spaces and the Related Contraction Principle

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_4d8fcd9e348847b9b0a1b8feb5f2427f

Controlled Metric Type Spaces and the Related Contraction Principle

About this item

Full title

Controlled Metric Type Spaces and the Related Contraction Principle

Publisher

Basel: MDPI AG

Journal title

Mathematics (Basel), 2018-10, Vol.6 (10), p.194

Language

English

Formats

Publication information

Publisher

Basel: MDPI AG

More information

Scope and Contents

Contents

In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality. Namely, the triangle inequality in the new defined extension will have the form, d ( x , y ) ≤ α ( x , z ) d ( x , z ) + α ( z , y ) d ( z , y ) , fo...

Alternative Titles

Full title

Controlled Metric Type Spaces and the Related Contraction Principle

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_4d8fcd9e348847b9b0a1b8feb5f2427f

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_4d8fcd9e348847b9b0a1b8feb5f2427f

Other Identifiers

ISSN

2227-7390

E-ISSN

2227-7390

DOI

10.3390/math6100194

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