摘要
Let X be a real reflexive Banach space, X* its dual space. Browder posed the following open question: Let T:X→2X* be a maximal monotone mapping, and let T0 be a bounded finitely continuous T-pseudomonotone mapping from X to X*. Suppose that (T+T0) is coercive. Is it then true that (T+T0) is surjective? In this paper, we shall introduce a notion on T-boundedness which is much weaker