New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces

摘要

Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X*. Let T : X. D(T). 2(X*) be maximal monotone and S : X. 2X* be bounded pseudomonotone. Let p be a nonnegative integer. Assume, further, that there exist nonnegative constants a(i) (i = 1, 2,..., p) such that