D.F. Agbebaku, P.U. Nwokoro, M.O. Osilike, E.E. Chima, A.C. Onah, The iterative algorithm with inertial and error terms for fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators

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DOI: 10.23952/asvao.3.2021.1.08
Volume 3, Issue 1, 30 April 2021, Pages 95-107

Abstract. 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 sensing, Numer. Algor. 83 (2020), 1321-1347] from the class of nonexpansive mappings to the much more general class of strictly pseudocontractive mappings.

How to Cite this Article:
D.F. Agbebaku, P.U. Nwokoro, M.O. Osilike, E.E. Chima, A.C. Onah, The iterative algorithm with inertial and error terms for fixed points of strictly pseudocontractive mappings and zeros of inverse strongly monotone operators, Appl. Set-Valued Anal. Optim. 3 (2021), 95-107.