Modified forward-backward splitting methods for accretive operators in Banach spaces

Volume 9, Issue 5, pp 2766--2778 http://dx.doi.org/10.22436/jnsa.009.05.72

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Authors

Nattawut Pholasa - School of Science, University of Phayao, Phayao 56000, Thailand. Prasit Cholamjiak - School of Science, University of Phayao, Phayao 56000, Thailand. Yeol Je Cho - Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia. - Department of Mathematics, Education and the RINS Gyeongsang National University, Jinju 660-701, Korea.

Abstract

In this paper, we propose the modified splitting method for accretive operators in Banach spaces and prove some strong convergence theorems of the proposed method under suitable conditions. Finally, we give some applications to the minimization problems.

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Keywords

• Accretive operator
• Banach space
• splitting method
• forward-backward splitting method.

MSC

•  47H10
•  54H25

References

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