Journal
FILOMAT
Volume 30, Issue 10, Pages 2711-2720Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL1610711T
Keywords
Fixed point; nonexpansive mapping; strong and weak convergence theorems
Categories
Funding
- University Grants Commission of India
- Rajiv Gandhi National Fellowship of India [F1-17.1/2011-12/RGNF-ST-CHH-6632]
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In this paper, we introduce a new three-step iteration scheme and establish convergence results for approximation of fixed points of nonexpansive mappings in the framework of Banach space. Further, we show that the new iteration process is faster than a number of existing iteration processes. To support the claim, we consider a numerical example and approximated the fixed point numerically by computer using Matlab.
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