On a cyclic Jungck modified <i>TS</i>-iterative procedure with application examples

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2014

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Elsevier Science inc

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Airframe and Powerplant Maintenance
(2012)
The Atılım University Department of Airframe and Powerplant Maintenance has been offering Civil Aviation education in English since 2012. In an effort to provide the best level of education, ATILIM UNIVERSITY demonstrated its merit as a role model in Civil Aviation Education last year by being granted a SHY 147 certificate with the status of “Approved Aircraft Maintenance Training Institution” by the General Directorate of Civil Aviation. The SHY 147 is a certificate for Approved Aircraft Maintenance Training Institutions. It is granted to institutions where training programs have undergone inspection, and the quality of the education offered has been approved by the General Directorate of Civil Aviation. With our Civil Aviation Training Center at Esenboğa Airport (our hangar), and the two Cessna-337 planes with double piston engines both of which are fully operational, as well our Beechcraft C90 Kingait plaine with double Turboprop engines, Atılım University is an institution to offer hands-on technical training in civil aviation, and one that strives to take the education it offers to the extremes in terms of technology. The Atılım university Graduate School Department of Airframe and Powerplant Maintenance is a fully-equipped civil aviation school to complement its theoretical education with hands-on training using planes of various kinds. Even before their graduation, most of our students are hired in Turkey’s most prestigious institutions in such a rapidly-developing sector. We are looking forward to welcoming you at this modern and contemporary institution for your education in civil aviation.
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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

This article investigates some convergence properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. The uniqueness of the best proximity points is investigated. It is basically assumed that one of the self-mappings is asymptotically nonexpansive while the other is asymptotically contractive with several particular cases. Some application examples are also discussed. (C) 2014 Elsevier Inc. All rights reserved.

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KARAPINAR, ERDAL/0000-0002-6798-3254; de la Sen, manuel/0000-0001-9320-9433
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KARAPINAR, ERDAL ORCID logo
de la Sen, manuel ORCID logo

Keywords

Best proximity points, Jungck iterative scheme, Uniformly convex Banach space

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17

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233

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383

End Page

397

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https://doi.org/10.1016/j.amc.2014.02.008
 https://hdl.handle.net/20.500.14411/247

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