
Journal of Convex Analysis 31 (2024), No. 1, 131138 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 ibaraki@ynu.ac.jp 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. [ Fulltextpdf (96 KB)] for subscribers only. 