On Reich Type Λ - Α-Nonexpansive Mapping in Banach Spaces With Applications To <i>l</I><sub>1<

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2018

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Univ Politecnica Valencia, Editorial Upv

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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 manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial order. We consider also an application to the space L-1([0, 1]). Our results generalize and unify the several related results in the literature.

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KARAPINAR, ERDAL/0000-0002-6798-3254
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KARAPINAR, ERDAL ORCID logo

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fixed point, Krasnoselskii iteration, monotone mapping, Reich type lambda - alpha-nonexpansive mapping, optial property

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19

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2

Start Page

291

End Page

305

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https://doi.org/10.4995/agt.2018.10213
 https://hdl.handle.net/20.500.14411/2957

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