Strong Convergence Results for Continuous Hemicontractive Mappings in Hilbert Spaces
DOI:
https://doi.org/10.26713/cma.v11i1.1310Keywords:
Hemicontractive mappings, Continuous mappings, Convergence, Fixed points, Hilbert spacesAbstract
We use an iteration process due to Rafiq (A. Rafiq, On Mann iteration in Hilbert spaces, Nonlinear Analysis 66 (2007), 2230 – 2236) to approximate fixed points of continuous hemicontractive mappings in Hilbert spaces. We drop the compactness condition on the domain of the operator, imposed in [1] and [26]. Our results extend several well known results in the literature and complement the results in [1] and [26].
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