Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces-Reference-Cited by-同舟云学术

Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces

Published:2021-08-08 Issue: Volume:2021 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Kalsoom Amna¹,Saleem Naeem²^ORCID,Işık Hüseyin³^ORCID,Al-Shami Tareq M.⁴^ORCID,Bibi Amna¹,Khan Hafsa¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

2. Department of Mathematics, University of Management and Technology, Lahore, Pakistan

3. Department of Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, Turkey

4. Department of Mathematics, Sana’a University, Sana’a, Yemen

Abstract

Fixed points of monotone

α

-nonexpansive and generalized

β

-nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/3243020.pdf

Reference32 articles.

1. NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE

2. Zum Prinzip der kontraktiven Abbildung

3. A Fixed Point Theorem for Mappings which do not Increase Distances

4. Some fixed point results for nonexpansive mappings in Banach spaces

5. An inertial Mann-like algorithm for fixed points of nonexpansive mappings in Hilbert spaces

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