Annals of Functional Analysis

On the Halpern iteration in CAT(0) spaces

Hadi Khatibzadeh and Sajad Ranjbar

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Abstract

In this paper, strong convergence of Halpern iteration is shown for a quasi-strongly nonexpansive sequence of multivalued mappings in complete CAT(0) spaces.

Article information

Source
Ann. Funct. Anal., Volume 6, Number 3 (2015), 155-165.

Dates
First available in Project Euclid: 17 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.afa/1429286039

Digital Object Identifier
doi:10.15352/afa/06-3-13

Mathematical Reviews number (MathSciNet)
MR3336912

Zentralblatt MATH identifier
1312.47083

Subjects
Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

Keywords
Halpern iteration CAT(0) space fixed point quasi-strongly nonexpansive mapping

Citation

Khatibzadeh, Hadi; Ranjbar, Sajad. On the Halpern iteration in CAT(0) spaces. Ann. Funct. Anal. 6 (2015), no. 3, 155--165. doi:10.15352/afa/06-3-13. https://projecteuclid.org/euclid.afa/1429286039


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