Zeros and mapping theorems for perturbations of m-accretive operators in Banach spaces

for all u ∈ Tx. Then, we have 0∈(T+C)(D(T)∩Br(0)),¯ where Br(0) denotes the open ball of X with centre at zero and radius r > 0. Assume, furthermore, that T : D(T) → 2X is strongly accretive. Then, 0 ∈ (T + C)(D(T) ∩ Br (0)). As applications of the above zero theorem, we derive many new mapping theorems for perturbations of m-accretive operators in Banach spaces. When, T and C are odd operators, we also obtain some new mapping theorems.