Some fundamental properties of resolvents of monotone operators in Banach spaces are investigated. Using them, we study the asymptotic behavior of the sequences generated by two modifications of the proximal point algorithm for monotone operators satisfying a range condition defined in Banach spaces.
Koji Aoyama. Fumiaki Kohsaka. Wataru Takahashi. "Proximal Point Methods for Monotone Operators in Banach Spaces." Taiwanese J. Math. 15 (1) 259 - 281, 2011. https://doi.org/10.11650/twjm/1500406174