Some Tripled Coincidence Point Theorems for Almost Generalized Contractions in Ordered Metric Spaces

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2013

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Tamkang Univ

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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 tripled coincidence and common fixed point theorems for F: X x X x X -> X and g: X -> X satisfying almost generalized contractions in partially ordered metric spaces. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897. Also, some examples are presented.

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Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; Mustafa, Zead/0009-0001-7168-3342; Mustafa, Zead/0000-0002-8540-8448
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Aydi, Hassen ORCID logo
KARAPINAR, ERDAL ORCID logo
Mustafa, Zead ORCID logo
Mustafa, Zead ORCID logo

Keywords

Tripled coincidence point, tripled common fixed point, ordered sets, metric spaces, almost generalized contractions

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Volume

44

Issue

3

Start Page

233

End Page

251

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https://doi.org/10.5556/j.tkjm.44.2013.090
 https://hdl.handle.net/20.500.14411/394

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