Empirical study of new iterative algorithm for generalized nonexpansive operators
Authors
N. Sharma
- Department of Mathematics, Pt. J.L.N. Govt. College, Faridabad 121002, India.
L. N. Mishra
- Department of Mathematics, School of Advanced Sciences, Vellore Institute of Tech-nology (VIT) University, Vellore 632 014, Tamil Nadu, India.
S. N. Mishra
- Department of Applied Sciences, Institute of Engineering and Technology (IET), Lucknow, 226 021, Uttar Pradesh, India.
V. N. Mishra
- Department of Mathematics, Faculty of Science, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, Madhya Pradesh, India.
Abstract
The focal objective of this paper is to establish a new iterative algorithm, namely \(\mathcal{V}_n\) and utilize the same to prove some strong and weak convergence results in Banach spaces. An example is given to confirm the efficiency of aforementioned scheme. Since the iteration \(\mathcal{V}_n\) is faster than many existing iterative algorithms, so the results in this paper are the extensions, improvements and the generalizations in the existing literature of fixed point in Banach spaces.
Share and Cite
ISRP Style
N. Sharma, L. N. Mishra, S. N. Mishra, V. N. Mishra, Empirical study of new iterative algorithm for generalized nonexpansive operators, Journal of Mathematics and Computer Science, 25 (2022), no. 3, 284--295
AMA Style
Sharma N., Mishra L. N., Mishra S. N., Mishra V. N., Empirical study of new iterative algorithm for generalized nonexpansive operators. J Math Comput SCI-JM. (2022); 25(3):284--295
Chicago/Turabian Style
Sharma, N., Mishra, L. N., Mishra, S. N., Mishra, V. N.. "Empirical study of new iterative algorithm for generalized nonexpansive operators." Journal of Mathematics and Computer Science, 25, no. 3 (2022): 284--295
Keywords
- Fixed point
- strong convergence
- weak convergence
- generalized nonexpansive mapping
- Banach space
MSC
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