Empirical study of new iterative algorithm for generalized nonexpansive operators
Nisha Sharma, Lakshmi Narayan Mishra, S. N. Mishra, Vishnu Narayan Mishra · Journal of Mathematics and Computer Science · 2021
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.