A new iteration scheme for approximating fixed points of nonexpansive mappings Article Swipe

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Mathematics Fixed point Banach space Fixed-point iteration Convergence (economics) Scheme (mathematics) Applied mathematics Mathematical optimization Discrete mathematics Mathematical analysis Economic growth Economics

Balwant Singh Thakur , Dipti Thakur , Mihai Postolache ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.2298/fil1610711t · OA: W941076426

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.