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

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Results in Nonlinear Analysis
Volume:4 Issue:4
Approximation of fixed points for Garcia-Falset mappings in a uniformly convex Banach space

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

Authors : Tanapat CHALARUX, Khuanchanok CHAİCHANA

Pages : 200-206

Doi:10.53006/rna.960564

View : 30 | Download : 11

Publication Date : 2021-12-31

Article Type : Research Paper

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

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