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논문

On iterations methods for zeros of accretive operators in Banach spaces

https://doi.org/10.1016/j.amc.2010.01.124

  • 저자Yisheng Song; Jung Im Kang; Yeol Je Cho
  • 학술지Applied Mathematics and Computation 216
  • 등재유형
  • 게재일자(2010)


In this paper, three iterations are designed to approach zeros of set-valued accretive operators in Banach spaces. The first one is the continuous Picard type iteration involving the resolvent, the second one is the approximate Picard type iteration involving the resolvent and the third one is the Halpern type iteration involving the resolvent. Some strong convergence theorems for three iterations are proved.


In this paper, three iterations are designed to approach zeros of set-valued accretive operators in Banach spaces. The first one is the continuous Picard type iteration involving the resolvent, the second one is the approximate Picard type iteration involving the resolvent and the third one is the Halpern type iteration involving the resolvent. Some strong convergence theorems for three iterations are proved.

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