极大单调算子和m-增生算子在扰动下的值域

The range of perturbed m-accretive operators and maximal monotone operators

证明了在一定条件下,极大单调算子加紧扰动值域的闭包中,包含闭球的结论,同时给出了m-增生算子加全连续扰动的几个满射定理,这些满射定理,是极大单调算子加全连续扰动的结论在m-增生算子加全连续扰动情形下的推广.

This paper obtains the conclusion that under some conditions the colure of the range of maximal monotone operators with compact perturbations contains a closed ball,and gives some subjective theorems for m-accretive operators with completely continuous perturbations. These subjective theorems extend the conclusions in which maximal conotone operators with completely continuous pertubations are considered to the case that m-accretive operators perturbed by completely continuous perturbations.