Banach空间中极大单调算子扰动的值域

Range of Perturbed Maximal Monotone Operators in Banach Spaces

研究了当T为极大单调算子,C为有界算子、C(T+J)-1为紧算子或C为紧算子、T+1nJ-1连续时,算子方程Tx+Cx=f的可解性,推广了已往的结果.

Let T be a maximal monotone operator,C be a bounded operator,and (CT+J)^(-1) be compact operator or C be compact operator,T+1nJ^(-1) be continous,the existence of solutions of the operator equation Tx+Cx=f is studied.Thus the previous results are improved and extended.