Approximation of fixed points for Garcia-Falset mappings in a uniformly convex Banach space

Year 2021, Volume: 4 Issue: 4, 200 - 206, 31.12.2021

Tanapat Chalarux , Khuanchanok Chaichana

https://doi.org/10.53006/rna.960564

Abstract

The aim of this research is to introduce a novel iterative technique termed CC-iteration for identifying the fixed points of Garcia-Falset mappings. In uniformly convex Banach spaces, we establish both weak and strong convergence characteristics. Additionally, numerical examples of the iterative approach are presented in the form of a signal recovery application in a compressed sensing issue.

Keywords

Garcia-Falset mapping, Iteration, Convergence, Signal recovery

Supporting Institution

Chiang Mai University

Project Number

R000027527

Thanks

CMU Junior Research Fellowship Program

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