A shrinking projection method for generalized firmly nonexpansive mappings with nonsummable errors
貴徳 茨木, 駿介 梶葉 · Josai University Repository of Academia (Josai University) · 2018
In this paper, we study an approximation method for mappings of type (P) [2], (Q) [2, 20], and (R) [2, 12] in a Banach space. Using the technique developed by Kimura and Takahashi [18] and Kimura [14], we prove strong convergence of iterative schemes generated by the shrinking projection method with errors by using the generalized projection. Moreover, using our results, we consider the problem of finding a zero of a maximal monotone operators in a Banach space.