New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points

Abstract Let E be a real Banach space with dual space E∗ $E^{*}$. A new class of relatively weak J-nonexpansive maps, T:E→E∗ $T:E\rightarrow E^{*}$, is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps...

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Autores principales:	Charles E. Chidume, Chinedu G. Ezea
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2020
Materias:	Strictly J-pseudocontractive J-Fixed point Zeros of inverse strongly monotone map Relatively weak J-nonexpansive map 2-Uniformly convex and uniformly smooth real Banach space Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/9ac7be11ce6747b6bc5e2947e13935ca
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spelling	oai:doaj.org-article:9ac7be11ce6747b6bc5e2947e13935ca2021-12-02T13:57:57ZNew algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points10.1186/s13663-019-0668-11687-1812https://doaj.org/article/9ac7be11ce6747b6bc5e2947e13935ca2020-01-01T00:00:00Zhttps://doi.org/10.1186/s13663-019-0668-1https://doaj.org/toc/1687-1812Abstract Let E be a real Banach space with dual space E∗ $E^{}$. A new class of relatively weak J-nonexpansive maps, T:E→E∗ $T:E\rightarrow E^{}$, is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps and zeros of a countable family of inverse strongly monotone maps in a 2-uniformly convex and uniformly smooth real Banach space is constructed. Furthermore, assuming existence, the sequence of the algorithm is proved to converge strongly. Finally, a numerical example is given to illustrate the convergence of the sequence generated by the algorithm.Charles E. ChidumeChinedu G. EzeaSpringerOpenarticleStrictly J-pseudocontractiveJ-Fixed pointZeros of inverse strongly monotone mapRelatively weak J-nonexpansive map2-Uniformly convex and uniformly smooth real Banach spaceApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2020, Iss 1, Pp 1-16 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Strictly J-pseudocontractive J-Fixed point Zeros of inverse strongly monotone map Relatively weak J-nonexpansive map 2-Uniformly convex and uniformly smooth real Banach space Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
spellingShingle	Strictly J-pseudocontractive J-Fixed point Zeros of inverse strongly monotone map Relatively weak J-nonexpansive map 2-Uniformly convex and uniformly smooth real Banach space Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433 Charles E. Chidume Chinedu G. Ezea New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
description	Abstract Let E be a real Banach space with dual space E∗ $E^{}$. A new class of relatively weak J-nonexpansive maps, T:E→E∗ $T:E\rightarrow E^{}$, is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps and zeros of a countable family of inverse strongly monotone maps in a 2-uniformly convex and uniformly smooth real Banach space is constructed. Furthermore, assuming existence, the sequence of the algorithm is proved to converge strongly. Finally, a numerical example is given to illustrate the convergence of the sequence generated by the algorithm.
format	article
author	Charles E. Chidume Chinedu G. Ezea
author_facet	Charles E. Chidume Chinedu G. Ezea
author_sort	Charles E. Chidume
title	New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
title_short	New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
title_full	New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
title_fullStr	New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
title_full_unstemmed	New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points
title_sort	new algorithms for approximating zeros of inverse strongly monotone maps and j-fixed points
publisher	SpringerOpen
publishDate	2020
url	https://doaj.org/article/9ac7be11ce6747b6bc5e2947e13935ca
work_keys_str_mv	AT charlesechidume newalgorithmsforapproximatingzerosofinversestronglymonotonemapsandjfixedpoints AT chinedugezea newalgorithmsforapproximatingzerosofinversestronglymonotonemapsandjfixedpoints
_version_	1718392275753500672

New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points

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