ON PERTURBATIONS OF ACCRETIVE OPERATORS IN LOCALLY CONVEX SPACES

Let E be a complete locally convex Hausdorff space, A : D(A) subset of E -> E be an accretive operator satisfying the range condition, T : D(T) subset of E -> E be a continuous compact mapping, and p is an element of E. In this paper, we prove the existence of solutions to the operator equation p is an element of Ax+Tx and give a sufficient condition for the operator A to satisfy the range condition.