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Let (A_{i}: C rightarrow E) be m-accretive operator, (i = 1,2, ldots,N).
Hence, the mobility of operator i is given by alap(i -asap(i -asap
Since (W_{0}) is compactly embedded in (L_{0}^{p}(Omega )), the inclusion operator i is compact.
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Then the operator ((I-A)^{-1}T) is continuous.
By Nikolsky's theorem [36], p.504, the operator (I-Lambda T) has the Fredholm property.
Notice that (r((lambda _{1}-varepsilon T)<1}-varepsilon Terator (I-(lambda_{1}-varepsilon )T) is invertible.
Assume that condition (B0) holds, then the operator ((I-A)^{-1}T Prightarrow P_{0}) is completely continuous.
They imposed a compactness hypothesis on the operator S and some other properties on the operator (I-T), and then asserted the following result.
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