Efficient Fixed-Point Iteration for Generalized Nonexpansive Mappings and Its Stability in Banach Spaces
Loading...
Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
de Gruyter Poland Sp Z O O
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
The aim of this article is to design a new iteration process for solving certain fixed-point problems. In particular, we prove weak and strong convergence theorems for generalized nonexpansive mappings in the framework of uniformly convex Banach spaces. In addition, we discuss the stability of the solution under mild conditions. Further, we provide some numerical examples to indicate that the proposed method works properly.
Description
Hussain, Aftab/0000-0002-7742-5993
ORCID
Keywords
Fixed Point Problem, Generalized Nonexpansive Mapping, Uniformly Convex Banach Space, Iteration Process, 47h09, generalized nonexpansive mapping, Convex Optimization, Economics, Geometry, Fixed-Point Problems, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Interior-Point Methods, Machine learning, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Stability (learning theory), 47h10, Economic growth, uniformly convex banach space, Numerical Analysis, Banach space, Numerical Optimization Techniques, fixed point problem, Fixed Point Theorems, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Uniformly convex space, Discrete mathematics, Applied mathematics, Computer science, iteration process, Regular polygon, Computational Theory and Mathematics, Banach manifold, Computer Science, Physical Sciences, Convergence (economics), Geometry and Topology, Lp space, Mathematics, Fixed-point iteration, Fixed-point theorems, uniformly convex Banach space, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Ali, Danish...et.al. (2023). "Efficient fixed-point iteration for generalized nonexpansive mappings and its stability in Banach spaces", Open Mathematics, Vol.20, No.1, pp.1753-1769.
WoS Q
Q2
Scopus Q
Q1
OpenCitations Citation Count
7
Source
Open Mathematics
Volume
20
Issue
1
Start Page
1753
End Page
1769
PlumX Metrics
Citations
Scopus : 11
Captures
Mendeley Readers : 7
SCOPUS™ Citations
11
checked on Feb 25, 2026
Web of Science™ Citations
12
checked on Feb 25, 2026
Page Views
1
checked on Feb 25, 2026
Google Scholar™
