Empirical study of new iterative algorithm for generalized nonexpansive operators

Volume 25, Issue 3, pp 284--295 http://dx.doi.org/10.22436/jmcs.025.03.07
Publication Date: July 03, 2021 Submission Date: December 25, 2020 Revision Date: March 15, 2021 Accteptance Date: May 21, 2021

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.


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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


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