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Journal of Convex Analysis 31 (2024), No. 1, 131--138
Copyright Heldermann Verlag 2024

Approximation of the Value of the Resolvent of a Maximal Monotone Operator in a Banach Space

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

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.

Keywords: Maximal monotone operator, resolvent, Type (Q), Type (R), Banach space.

MSC: 47H05, 47J25.

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