Abstract and Applied Analysis
Volume 2 (1997), Issue 3-4, Pages 197-205
doi:10.1155/S1085337597000341
Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces
Haiyun Zhou1
and Athanassios G. Kartsatos2
1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USA
Abstract
Various eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.