Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces

K. Calderón; M. A. Khamsi; J. Martínez-Moreno

Perturbed approximations of fixed points of nonexpansive mappings in CAT_p(0) spaces

K. Calderón
, M. A. Khamsi
, J. Martínez-Moreno

Mathematics

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

8 Scopus citations

Abstract

Using the concept of the CAT_p(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.

Original language	British English
Pages (from-to)	65-79
Number of pages	15
Journal	Carpathian Journal of Mathematics
Volume	37
Issue number	1
State	Published - 2021

Keywords

Fixed point
Generalized CAT(0) spaces
Hadamard metric spaces
Hyperbolic metric spaces
Modified Mann iteration
Nonexpansive mapping
SM-iteration

Cite this

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abstract = "Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.",

keywords = "Fixed point, Generalized CAT(0) spaces, Hadamard metric spaces, Hyperbolic metric spaces, Modified Mann iteration, Nonexpansive mapping, SM-iteration",

author = "K. Calder{\'o}n and Khamsi, \{M. A.\} and J. Mart{\'i}nez-Moreno",

year = "2021",

language = "British English",

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journal = "Carpathian Journal of Mathematics",

issn = "1584-2851",

publisher = "North University of Baia Mare",

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T1 - Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces

AU - Calderón, K.

AU - Khamsi, M. A.

AU - Martínez-Moreno, J.

PY - 2021

Y1 - 2021

N2 - Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.

AB - Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.

KW - Fixed point

KW - Generalized CAT(0) spaces

KW - Hadamard metric spaces

KW - Hyperbolic metric spaces

KW - Modified Mann iteration

KW - Nonexpansive mapping

KW - SM-iteration

UR - https://www.scopus.com/pages/publications/85100846142

M3 - Article

AN - SCOPUS:85100846142

SN - 1584-2851

VL - 37

SP - 65

EP - 79

JO - Carpathian Journal of Mathematics

JF - Carpathian Journal of Mathematics

IS - 1

ER -

Perturbed approximations of fixed points of nonexpansive mappings in CAT_p(0) spaces

Abstract

Keywords

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