Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces |
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| Authors: | Adrian Petruşel Jen-Chih Yao |
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| Institution: | (1) Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania;(2) Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, 804 |
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| Abstract: | In this paper, we prove a strong convergence theorem for resolvents of accretive operators in a Banach space by the viscosity
approximation method with a generalized contraction mapping. The proximal point algorithm in a Banach space is also considered.
The results extend some very recent theorems of W. Takahashi.
This research is partially supported by a grant from the National Science Council |
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| Keywords: | viscosity approximation method accretive operator generalized contraction resolvent proximal point algorithm |
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