Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Chakkrid Klin-eam, Suthep Suantai and Wataru Takahashi

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: We establish strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of two relatively nonexpansive mappings in a Banach space by using a new hybrid method. Moreover we apply our main results to obtain strong convergence for a maximal monotone operator and two nonexpansive mappings in a Hilbert space.

Date: 2009
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https://doi.org/10.1155/2009/649831

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:649831

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