Ranges Of Noncompact Perturbed Monotone Type And M-Accretive Operators

Let X be a real Banach space with dual space X and normalized duality mapping J. D is a bounded ,open and convex subset of X. T is either maximal monotone or m-accretive, C is a bounded operators .Cases are considered that either is compact,and with the boundary condition of type .Thesolvability of the inclusion is considerd.In addition,we considered the range of operator T + C under the assumptions that T is a maximal monotone operator with the boundary condition of the typeElse in thethird part of the article,we also examine the range of operator T + C by using degree theory of type (S+) under the condition of that both T and C are demicontinuous pseudo-monotone operators with the boundary condition of type...