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The iterative algorithm with inertial and error terms for fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators

2021 Applied Set-Valued Analysis and Optimization  

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We study a Halpern-type algorithm with both inertial and error terms for the approximation of fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators in real Hilbert spaces. Our algorithm is illustrated via numerical examples in both finite and infinite dimensional real Hilbert spaces. Our results extend recent results of [Y. Shehu, O.S. Iyiola, F.U. Ogbuisi, Iterative method with inertial terms for nonexpansive mappings: applications to compressed
more » ... nsing, Numer. Algor. 83 (2020), 1321-1347] from the class of nonexpansive mappings to the much more general class of strictly pseudocontractive mappings.
doi:10.23952/asvao.3.2021.1.08 fatcat:qvztpbnxrbhpjkjbhitvvket6m
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"The iterative algorithm with inertial and error terms for fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators." Applied Set-Valued Analysis and Optimization 3.1 (2021)