Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces

Chinedu Izuchukwu; Godwin Chidi Ugwunnadi; Oluwatosin Temitope Mewomo

doi:10.1007/s40590-021-00340-4

Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces

Chinedu Izuchukwu, Godwin Chidi Ugwunnadi, Oluwatosin Temitope Mewomo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The main purpose of this paper is to introduce a new mapping given by a finite family of generalized strictly pseudononspreading mappings. Also, we introduce a viscosity-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for the new mapping in a complete CAT(0) space. A numerical experiment is presented to illustrate the performance of our method as well as comparing it with some related methods in the literature. Our numerical experiment shows that our algorithm converges faster than that proposed by Takahashi and Shimoji (Math Comput Model 32:1463–1471, 2000) and Ugwunnadi et al. (Afr Mat 30(1–2):151–169, 2019).

Original language	English
Article number	15
Journal	Boletin de la Sociedad Matematica Mexicana
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s40590-021-00340-4
Publication status	Published - Mar 2021
Externally published	Yes

Keywords

CAT(0) spaces
Generalized strictly pseudononspreading mapping
Monotone operators
Nonspreading
Strong convergence
W-mapping

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10.1007/s40590-021-00340-4

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title = "Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces",

abstract = "The main purpose of this paper is to introduce a new mapping given by a finite family of generalized strictly pseudononspreading mappings. Also, we introduce a viscosity-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for the new mapping in a complete CAT(0) space. A numerical experiment is presented to illustrate the performance of our method as well as comparing it with some related methods in the literature. Our numerical experiment shows that our algorithm converges faster than that proposed by Takahashi and Shimoji (Math Comput Model 32:1463–1471, 2000) and Ugwunnadi et al. (Afr Mat 30(1–2):151–169, 2019).",

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AU - Mewomo, Oluwatosin Temitope

PY - 2021/3

Y1 - 2021/3

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AB - The main purpose of this paper is to introduce a new mapping given by a finite family of generalized strictly pseudononspreading mappings. Also, we introduce a viscosity-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for the new mapping in a complete CAT(0) space. A numerical experiment is presented to illustrate the performance of our method as well as comparing it with some related methods in the literature. Our numerical experiment shows that our algorithm converges faster than that proposed by Takahashi and Shimoji (Math Comput Model 32:1463–1471, 2000) and Ugwunnadi et al. (Afr Mat 30(1–2):151–169, 2019).

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Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces

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Keywords

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