含极大单调算子紧扰动方程的可解性

On the Soluability of Equations Involving Compact Perturbations of Maximal Monotone Operation

研究当Ｔ为极大单调算子、Ｃ为紧算子时，算子方程Ｔｘ＋Ｃｘ＝ｆ在抽象空间中解的存在性．这些结果推广和改进了Ｋａｒｔｓａｔｏｓ［３］中的有关结论．

Examine the existence of solutions of the operator equation Tx+Cx=f when T is a maximal monotone operator, C is compact.These theories improve and extend the conclusions of Kartsatos .