SOLVABILITY OF EQUATIONS INVOLVING PERTURBATIONS OF m-ACCRETIVE OPERATORS IN BANACH SPACES

Y. Takeuchi; M. Toyoda

SOLVABILITY OF EQUATIONS INVOLVING PERTURBATIONS OF m-ACCRETIVE OPERATORS IN BANACH SPACES

Authors

Y. Takeuchi Address Takahashi Institute for Nonlinear Analysis, 1-11-11 Nakazato, Minami, Yokohama232-0063, Japan
M. Toyoda Address Department of Information Science, Toho University, Miyama, Funabashi, Chiba274-8510, Japan

Keywords:

Nonlinear operator, accretive operator, fixed point

Abstract

It is purpose of this paper to give several results for the solvability of the equation p ∈ Ax + Sx, where A is an m-accretive operator on a Banach space E and S is a mapping on a subset of E, with elementary proofs. We give proofs of them without using degree theory.