ITERATIVE ALGORITHM FOR GENERALIZED (α, β)-NONEXPANSIVE MAPPINGS
By
N. Garakoti1, Mahesh C. Joshi2 and R. Kumar3
1Department of Mathematics, S. S. J. Campus, S. S. J. University, Almora, India-263601
2,3Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital, India-263001
Email: neerajgarakoti@gmail.com, mcjoshi69@gmail.com, rohitk0351@gmail.com
(Received: June 14, 2024; In format: June 22, 2024; Revised: May 18, 2025; Accepted: May 21, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55115
Abstract
The aim of this paper to introduced an iterative process and established the result on weak and strong convergence for it, in an arbitrary Banach space for generalized (α, β)-nonexpansive mapping. Also, we compare the rate of convergence of new iterative process to some other well known iterative process..
2020 Mathematical Sciences Classification: Primary 47H10; Secondary 54H25.
Keywords and Phrases: Iteration, convergence, fixed point.