Nonunique Fixed Point Theorems in Partial Metric Spaces

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2013

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Univ Nis, Fac Sci Math

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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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Abstract

In this paper we prove the existence of fixed points of certain self-maps in the context of partial metric spaces. In fact, the fixed point theorems presented here can be considered as a continuation, in part, of the works of L. B. Ciric on the existence of fixed points but not uniqueness in the realm of metric spaces. Our results generalize, enrich and improve earlier results on the topic in the literature.

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Romaguera, Salvador/0000-0001-7857-6139; KARAPINAR, ERDAL/0000-0002-6798-3254
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Romaguera, Salvador ORCID logo
KARAPINAR, ERDAL ORCID logo

Keywords

nonunique fixed point, partial metric space

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Q3

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Volume

27

Issue

7

Start Page

1305

End Page

1314

URI

https://doi.org/10.2298/FIL1307305K
 https://hdl.handle.net/20.500.14411/276

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