Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces

Abstract In this paper, we introduce a modified Ishikawa-type proximal point algorithm for approximating a common solution of minimization problem, monotone inclusion problem and fixed point problem. We obtain a strong convergence of the proposed algorithm to a common solution of finite family of mi...

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Autores principales:	Izuchukwu,Chinedu, Ugwunnadi,Godwin C., Mewomo,Oluwatosin Temitope
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2021
Materias:	CAT(0) spaces Ishikawa-type proximal point algorithm Monotone inclusion problem Minimization problem Fixed point problem Asymptotically demicontractive mapping
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200525
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spelling	oai:scielo:S0716-091720210002005252021-04-03Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spacesIzuchukwu,ChineduUgwunnadi,Godwin C.Mewomo,Oluwatosin Temitope CAT(0) spaces Ishikawa-type proximal point algorithm Monotone inclusion problem Minimization problem Fixed point problem Asymptotically demicontractive mapping Abstract In this paper, we introduce a modified Ishikawa-type proximal point algorithm for approximating a common solution of minimization problem, monotone inclusion problem and fixed point problem. We obtain a strong convergence of the proposed algorithm to a common solution of finite family of minimization problem, finite family of monotone inclusion problem and fixed point problem for asymptotically demicontractive mapping in Hadamard spaces. Numerical example is given to illustrate the applicability of our main result. Our results complement and extend some recent results in literature.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200525en10.22199/issn.0717-6279-2021-02-0030
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	CAT(0) spaces Ishikawa-type proximal point algorithm Monotone inclusion problem Minimization problem Fixed point problem Asymptotically demicontractive mapping
spellingShingle	CAT(0) spaces Ishikawa-type proximal point algorithm Monotone inclusion problem Minimization problem Fixed point problem Asymptotically demicontractive mapping Izuchukwu,Chinedu Ugwunnadi,Godwin C. Mewomo,Oluwatosin Temitope Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
description	Abstract In this paper, we introduce a modified Ishikawa-type proximal point algorithm for approximating a common solution of minimization problem, monotone inclusion problem and fixed point problem. We obtain a strong convergence of the proposed algorithm to a common solution of finite family of minimization problem, finite family of monotone inclusion problem and fixed point problem for asymptotically demicontractive mapping in Hadamard spaces. Numerical example is given to illustrate the applicability of our main result. Our results complement and extend some recent results in literature.
author	Izuchukwu,Chinedu Ugwunnadi,Godwin C. Mewomo,Oluwatosin Temitope
author_facet	Izuchukwu,Chinedu Ugwunnadi,Godwin C. Mewomo,Oluwatosin Temitope
author_sort	Izuchukwu,Chinedu
title	Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
title_short	Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
title_full	Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
title_fullStr	Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
title_full_unstemmed	Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
title_sort	strong convergence theorem for family of minimization and monotone inclusion problems in hadamard spaces
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200525
work_keys_str_mv	AT izuchukwuchinedu strongconvergencetheoremforfamilyofminimizationandmonotoneinclusionproblemsinhadamardspaces AT ugwunnadigodwinc strongconvergencetheoremforfamilyofminimizationandmonotoneinclusionproblemsinhadamardspaces AT mewomooluwatosintemitope strongconvergencetheoremforfamilyofminimizationandmonotoneinclusionproblemsinhadamardspaces
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Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces

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