Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces

Rida Outass; Karim Chaira; El Miloudi Marhrani; Nour-eddine El Harmouchi

doi:10.1155/2020/5854674

Journal of Function Spaces (Jan 2020)

Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces

Rida Outass,
Karim Chaira,
El Miloudi Marhrani,
Nour-eddine El Harmouchi

Affiliations

Rida Outass: Laboratory of Algebra, Analysis and Applications (L3A), Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik, Avenue Cdt Driss El Harti, B.P 7955, Sidi Othmane, Casablanca, Morocco
Karim Chaira: Laboratory of Algebra, Analysis and Applications (L3A), Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik, Avenue Cdt Driss El Harti, B.P 7955, Sidi Othmane, Casablanca, Morocco
El Miloudi Marhrani: Laboratory of Algebra, Analysis and Applications (L3A), Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik, Avenue Cdt Driss El Harti, B.P 7955, Sidi Othmane, Casablanca, Morocco
Nour-eddine El Harmouchi: Laboratory of Algebra, Analysis and Applications (L3A), Hassan II University of Casablanca, Faculty of Sciences Ben M’Sik, Avenue Cdt Driss El Harti, B.P 7955, Sidi Othmane, Casablanca, Morocco

DOI: https://doi.org/10.1155/2020/5854674
Journal volume & issue: Vol. 2020

Abstract

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In this paper, we introduce and study some properties of a new class of generalized monotone nonexpansive mappings in hyperbolic metric spaces. Further, we give some results on the convergence of the Mann iterative process for this class of mappings in hyperbolic ordered metric spaces with some interesting examples.

Published in Journal of Function Spaces

ISSN: 2314-8896 (Print); 2314-8888 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/9303

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