• Iterative approximation of fix...

Result: Iterative approximation of fixed points of generalized $ \alpha _{m} $-nonexpansive mappings in modular spaces

Title:
Iterative approximation of fixed points of generalized $ \alpha _{m} $-nonexpansive mappings in modular spaces
Authors:
Muhammad Waseem Asghar, Mujahid Abbas, Cyril Dennis Enyi, McSylvester Ejighikeme Omaba
Source:
AIMS Mathematics, Vol 8, Iss 11, Pp 26922-26944 (2023)
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2023.
Publication Year:
2023
Subject Terms:
Psychometrics, Fixed-Point Problems, Mathematical analysis, Alpha (finance), Fixed Point Theorems in Metric Spaces, Interior-Point Methods, Context (archaeology), modular space, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, Biology, Modular design, Scheme (mathematics), Numerical Analysis, Construct validity, Numerical Optimization Techniques, Statistics, Pure mathematics, Paleontology, Iterative Algorithms for Nonlinear Operators and Optimization, Fixed point, Discrete mathematics, Applied mathematics, Computer science, generalized $ \alpha_{m} $-nonexpansive mapping, Operating system, fixed point, Computational Theory and Mathematics, Contractive Mappings, Computer Science, Physical Sciences, $ aa $-iteration, Geometry and Topology, Mathematics
Document Type:
Academic journal Article<br />Other literature type
ISSN:
2473-6988
DOI:
10.3934/math.20231378
DOI:
10.60692/g13ga-j1210
DOI:
10.60692/t91an-hpq67
Access URL:
https://doaj.org/article/f8e9f376995a4492840fa05d0dcb0dbc
Accession Number:
edsair.doi.dedup.....8c934e71daf27637f95b52a8e4ea3a2e
Database:
OpenAIRE

Further Information

Our aim of this work is to approximate the fixed points of generalized $ \alpha _{m} $-nonexpansive mappings employing $ AA $-iterative scheme in the structure of modular spaces. The results of fixed points for generalized $ \alpha _{m} $-nonexpansive mappings is proven in this context. Moreover, the stability of the scheme and data dependence results are given for $ m $-contraction mappings. In order to demonstrate that the $ AA $-iterative scheme converges faster than some other schemes for generalized $ \alpha_{m} $-nonexpansive mappings, numerical examples are shown at the end.