SETS IN THE RANGES OF SUMS FOR PERTURBATIONS OF NONLINEAR M-ACCRETIVE OPERATORS IN BANACH-SPACES

Several results are given involving nonlinear range inclusions of the types B + D subset of R(T + C) and int(B + D) C R(T + C), where B, D are subsets of a real Banach space X, the operator T : X superset of D(T) --> 2(X) is at least m-accretive, and the perturbation C : X superset of D(C) --> X is at least compact, or demicontinuous, or m-accretive. Leray-Schauder degree theory is used in most of the results, and extended versions of recent results of Calvert and Gupta, Morales, Reich, and the author are shown to be possible by using mainly homotopies of compact transformations.