Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
Loading...
Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi rho-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.
Description
Saleem, Dr. Naeem/0000-0002-1485-6163
ORCID
Keywords
Artificial intelligence, Class (philosophy), Best Proximity Points, Economics, Iterative and incremental development, Geometry, Cone Metric Spaces, Fixed-Point Problems, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Economic growth, Software engineering, Applied Mathematics, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Applied mathematics, Computer science, Computational Theory and Mathematics, Contractive Mappings, Physical Sciences, Computer Science, Convergence (economics), Monotone polygon, Geometry and Topology, Mathematics, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), quasi \(\varrho \)-preserving locally related quasi-nonexpansive mappings, hyperbolic space
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Saleem, Naeem;...et.al. (2022). "Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space", Journal of Function Spaces, Vol.2022, pp.1-10.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
5
Source
Journal of Function Spaces
Volume
2022
Issue
Start Page
1
End Page
10
PlumX Metrics
Citations
Scopus : 5
Captures
Mendeley Readers : 1
Google Scholar™
