Rational Forms That Imply the Uniqueness of Fixed Points in Partial Metric Spaces

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2019

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Yokohama Publ

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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In this paper, we investigate the existence and uniqueness of fixed points of Jaggi type contractions by using a simulation function in the framework of partial metric spaces. Our results improve, extend and unify several results on the topic in the literature.

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Jaggi Type, simulation functions, fixed point

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12th International Conference on the Theory of Fixed Points and its Applications (ICFPTA) -- JUL 24-28, 2017 -- Newcastle, AUSTRALIA

Volume

20

Issue

10

Start Page

2171

End Page

2186

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https://hdl.handle.net/20.500.14411/8847

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