Coupled coincidence point results on generalized distance in ordered cone metric spaces

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Date

2013

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Springer

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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 establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via -distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results.

Description

Mustafa, Zead/0009-0001-7168-3342; Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; Mustafa, Zead/0000-0002-8540-8448; , Hassen/0000-0003-3896-3809

Keywords

c-distance, Cone metric space, Ordered set, Coupled coincidence point, Common coupled fixed point, Mixed g-monotone property

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Citation

19

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Q2

Scopus Q

Q4

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Volume

17

Issue

4

Start Page

979

End Page

993

URI

https://doi.org/10.1007/s11117-012-0216-2
 https://hdl.handle.net/20.500.14411/404

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