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

Zhou Haiyun1 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
Received 15 January 1997

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.