Forcing Strong Convergence of a Mann-Based Iteration for Nonexpansive and Monotone Operators in a Hilbert Space

Songtao Lv and Sun Young Cho

Journal of Mathematics, 2022, vol. 2022, 1-6

Abstract: Mann iteration is weakly convergent in infinite dimensional spaces. We, in this paper, use the nearest point projection to force the strong convergence of a Mann-based iteration for nonexpansive and monotone operators. A strong convergence theorem of common elements is obtained in an infinite dimensional Hilbert space. No compact conditions are needed.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5450521

DOI: 10.1155/2022/5450521

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