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
1Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USA
Received 15 January 1997
Copyright © 1997 Zhou Haiyun and Athanassios G. Kartsatos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.