Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces

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.

Keywords

• Maximal monotone operator
• m-accretive operator
• compact perturbation
• Leray-Schauder degree theory
• cone
• eigenvalue problem
• compact resolvent
• Kartsatos' degree theory.