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A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces

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Main Authors: K. O., Aremu, C., Izuchukwu, G. N., Ogwo
Format: Book
Language:English
Published: Springer 2023
Subjects:
proximal point-type
nonexpansive mapping
Online Access:https://link.springer.com/article/10.1007/s13370-023-01040-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595
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spelling oai:localhost:PNK-75952023-04-05T08:54:57Z A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces K. O., Aremu C., Izuchukwu G. N., Ogwo proximal point-type nonexpansive mapping CC BY In this paper, we introduce a proximal point-type of viscosity iterative method with double implicit midpoint rule comprising of a nonexpansive mapping and the resolvents of a monotone operator and a bifunction. Furthermore, we establish that the sequence generated by our proposed algorithm converges strongly to an element in the intersection of the solution sets of monotone inclusion problem, equilibrium problem and fixed point problem for a nonexpansive mapping in complete CAT(0) spaces. In addition, we give a numerical example of our method each in a finite dimensional Euclidean space and a non-Hilbert space setting to show the applicability of our method . Our results complement many recent results in the literature. 2023-04-05T08:54:57Z 2023-04-05T08:54:57Z 2023 Book https://link.springer.com/article/10.1007/s13370-023-01040-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic proximal point-type
nonexpansive mapping
spellingShingle proximal point-type
nonexpansive mapping
K. O., Aremu
C., Izuchukwu
G. N., Ogwo
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
description CC BY
format Book
author K. O., Aremu
C., Izuchukwu
G. N., Ogwo
author_facet K. O., Aremu
C., Izuchukwu
G. N., Ogwo
author_sort K. O., Aremu
title A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
title_short A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
title_full A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
title_fullStr A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
title_full_unstemmed A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
title_sort modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in cat(0) spaces
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s13370-023-01040-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595
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score 8.887929

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