Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings

A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied. The study is a continuation of a recent study of a new class of α-demicontractive mappings T by L. Mărușter and Ș. Mărușter, Mathem...
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Gespeichert in:

Autor*in:	Osilike Micah Okwuchukwu [verfasserIn] Onah Anthony Chibuike [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	α-demicontractive maps α-hemicontractive maps fixed points ishikawa iteration strong convergence

Übergeordnetes Werk:	In: Annals of the West University of Timisoara: Mathematics and Computer Science - Sciendo, 2014, 53(2015), 1, Seite 151-161
Übergeordnetes Werk:	volume:53 ; year:2015 ; number:1 ; pages:151-161

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1515/awutm-2015-0008

Katalog-ID:	DOAJ028811194

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language	English
source	In Annals of the West University of Timisoara: Mathematics and Computer Science 53(2015), 1, Seite 151-161 volume:53 year:2015 number:1 pages:151-161
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topic_facet	α-demicontractive maps α-hemicontractive maps fixed points ishikawa iteration strong convergence Mathematics
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container_title	Annals of the West University of Timisoara: Mathematics and Computer Science
authorswithroles_txt_mv	Osilike Micah Okwuchukwu @@aut@@ Onah Anthony Chibuike @@aut@@
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author	Osilike Micah Okwuchukwu
spellingShingle	Osilike Micah Okwuchukwu misc QA1-939 misc α-demicontractive maps misc α-hemicontractive maps misc fixed points misc ishikawa iteration misc strong convergence misc Mathematics Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
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topic_title	QA1-939 Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings α-demicontractive maps α-hemicontractive maps fixed points ishikawa iteration strong convergence
topic	misc QA1-939 misc α-demicontractive maps misc α-hemicontractive maps misc fixed points misc ishikawa iteration misc strong convergence misc Mathematics
topic_unstemmed	misc QA1-939 misc α-demicontractive maps misc α-hemicontractive maps misc fixed points misc ishikawa iteration misc strong convergence misc Mathematics
topic_browse	misc QA1-939 misc α-demicontractive maps misc α-hemicontractive maps misc fixed points misc ishikawa iteration misc strong convergence misc Mathematics
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title	Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
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title_full	Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
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title_sort	strong convergence of the ishikawa iteration for lipschitz α-hemicontractive mappings
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title_auth	Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
abstract	A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied. The study is a continuation of a recent study of a new class of α-demicontractive mappings T by L. Mărușter and Ș. Mărușter, Mathematical and Computer Modeling 54 (2011) 2486-2492 in which they proved strong convergence of the Mann iteration scheme to a fixed point of T. Our class of α-hemicontractive maps is more general than the class of α-demicontractive maps. No compactness assumption is imposed on the operator or it’s domain, and no additional requirement is imposed on the set of fixed points.
abstractGer	A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied. The study is a continuation of a recent study of a new class of α-demicontractive mappings T by L. Mărușter and Ș. Mărușter, Mathematical and Computer Modeling 54 (2011) 2486-2492 in which they proved strong convergence of the Mann iteration scheme to a fixed point of T. Our class of α-hemicontractive maps is more general than the class of α-demicontractive maps. No compactness assumption is imposed on the operator or it’s domain, and no additional requirement is imposed on the set of fixed points.
abstract_unstemmed	A new class of α-hemicontractive maps T for which the strong convergence of the Ishikawa iteration algorithm to a fixed point of T is assured is introduced and studied. The study is a continuation of a recent study of a new class of α-demicontractive mappings T by L. Mărușter and Ș. Mărușter, Mathematical and Computer Modeling 54 (2011) 2486-2492 in which they proved strong convergence of the Mann iteration scheme to a fixed point of T. Our class of α-hemicontractive maps is more general than the class of α-demicontractive maps. No compactness assumption is imposed on the operator or it’s domain, and no additional requirement is imposed on the set of fixed points.
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title_short	Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings
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score	7.3995857

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Strong convergence of the Ishikawa iteration for Lipschitz α-hemicontractive mappings

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