Abstract

We consider the approximation of the value of the resolvent of a maximal monotone operator in a Banach space. We prove strong convergence theorems for resolvents of type (Q) and (R) in a Banach space.

Author information

Contact details are reproduced from the original publication and may be historical.

Takanori Ibaraki

Dept. of Mathematics Education, Yokohama National University, Yokohama, Japan

ibaraki@ynu.ac.jp

Keywords

  • Maximal monotone operator
  • resolvent
  • Type (Q)
  • Type (R)
  • Banach space

Mathematics Subject Classification

47H05, 47J25

Suggested citation

T. Ibaraki. “Approximation of the Value of the Resolvent of a Maximal Monotone Operator in a Banach Space.” Journal of Convex Analysis 31 (2024), No. 1, 131–138. https://doi.org/10.68381/jca31009

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Published by Heldermann Verlag, 2024. Rights now held by Banach Press.