Weakly closed 𝑚-accretive operators

Abstract

Let A and B be weakly closed, nonlinear m-accretive (single-valued) operators in a reflexive Banach space X, and Bn be the Yosida approximation of B. Then the following condition is sufficient for the sum A + B to be also m-accretive: For each v E X, \\B"un\\ is bounded as n tends to infinity, where un is defined by the equation un + Aun + Bnu" = v, n = 1,2,.... Some related conditions are also provided.