Approximation of common solutions for a finite family of generalized demimetric mappings and monotone inclusion problems in cat(0) spaces

G. C. Ugwunnadi; C. C. Okeke

doi:10.23952/asvao.3.2021.1.02

Approximation of common solutions for a finite family of generalized demimetric mappings and monotone inclusion problems in cat(0) spaces

G. C. Ugwunnadi^*, C. C. Okeke

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

In this paper, we introduce a modified Halpern-Mann algorithm and study the strong convergence of the algorithm for approximating common solution of a finite family of monotone inclusion problems and a finite family of generalized demimetric mappings in complete CAT(0) spaces. Some applications are also considered.

Original language	English
Pages (from-to)	3-20
Number of pages	18
Journal	Applied Set-Valued Analysis and Optimization
Volume	3
Issue number	1
DOIs	https://doi.org/10.23952/asvao.3.2021.1.02
Publication status	Published - Apr 2021
Externally published	Yes

Keywords

Fixed point
Hadamard Space
Monotone operator
Strong Convergence
Zero point

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10.23952/asvao.3.2021.1.02

Cite this

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title = "Approximation of common solutions for a finite family of generalized demimetric mappings and monotone inclusion problems in cat(0) spaces",

abstract = "In this paper, we introduce a modified Halpern-Mann algorithm and study the strong convergence of the algorithm for approximating common solution of a finite family of monotone inclusion problems and a finite family of generalized demimetric mappings in complete CAT(0) spaces. Some applications are also considered.",

keywords = "Fixed point, Hadamard Space, Monotone operator, Strong Convergence, Zero point",

author = "Ugwunnadi, \{G. C.\} and Okeke, \{C. C.\}",

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AU - Ugwunnadi, G. C.

AU - Okeke, C. C.

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Y1 - 2021/4

N2 - In this paper, we introduce a modified Halpern-Mann algorithm and study the strong convergence of the algorithm for approximating common solution of a finite family of monotone inclusion problems and a finite family of generalized demimetric mappings in complete CAT(0) spaces. Some applications are also considered.

AB - In this paper, we introduce a modified Halpern-Mann algorithm and study the strong convergence of the algorithm for approximating common solution of a finite family of monotone inclusion problems and a finite family of generalized demimetric mappings in complete CAT(0) spaces. Some applications are also considered.

KW - Fixed point

KW - Hadamard Space

KW - Monotone operator

KW - Strong Convergence

KW - Zero point

UR - https://www.scopus.com/pages/publications/85105824681

U2 - 10.23952/asvao.3.2021.1.02

DO - 10.23952/asvao.3.2021.1.02

M3 - Article

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JO - Applied Set-Valued Analysis and Optimization

JF - Applied Set-Valued Analysis and Optimization

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Approximation of common solutions for a finite family of generalized demimetric mappings and monotone inclusion problems in cat(0) spaces

Abstract

Keywords

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