VISCOSITY APPROXIMATION METHOD FOR FIXED POINT OF PSEUDOCONTRACTION MAPPING IN HADAMARD SPACES

G. C. Ugwunnadi; Z. G. Makukula; A. R. Khan; Y. Shehu

doi:10.24193/fpt-ro.2023.1.22

VISCOSITY APPROXIMATION METHOD FOR FIXED POINT OF PSEUDOCONTRACTION MAPPING IN HADAMARD SPACES

G. C. Ugwunnadi
, Z. G. Makukula
, A. R. Khan
, Y. Shehu

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

Abstract

In this paper, we study a viscosity approximation method for finding a nearest fixed point of a continuous pseudo-contraction mapping in a Hadamard space. We applied our result to solve some convex minimization problems. We also present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.

Original language	English
Pages (from-to)	393-412
Number of pages	20
Journal	Fixed Point Theory
Volume	24
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2023.1.22
Publication status	Published - 1 Feb 2023
Externally published	Yes

Keywords

Hadamard space
Pseudo-contraction mapping
fixed point
monotone mappings
strong convergence
△ convergence

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10.24193/fpt-ro.2023.1.22

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abstract = "In this paper, we study a viscosity approximation method for finding a nearest fixed point of a continuous pseudo-contraction mapping in a Hadamard space. We applied our result to solve some convex minimization problems. We also present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.",

keywords = "Hadamard space, Pseudo-contraction mapping, fixed point, monotone mappings, strong convergence, △ convergence",

author = "Ugwunnadi, \{G. C.\} and Makukula, \{Z. G.\} and Khan, \{A. R.\} and Y. Shehu",

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AU - Shehu, Y.

PY - 2023/2/1

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AB - In this paper, we study a viscosity approximation method for finding a nearest fixed point of a continuous pseudo-contraction mapping in a Hadamard space. We applied our result to solve some convex minimization problems. We also present an example to validate our new findings. This work substantially improves and generalizes some well-known results in the literature.

KW - Hadamard space

KW - Pseudo-contraction mapping

KW - fixed point

KW - monotone mappings

KW - strong convergence

KW - △ convergence

UR - https://www.scopus.com/pages/publications/85152076088

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DO - 10.24193/fpt-ro.2023.1.22

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IS - 1

ER -

VISCOSITY APPROXIMATION METHOD FOR FIXED POINT OF PSEUDOCONTRACTION MAPPING IN HADAMARD SPACES

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Keywords

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