Article ID Journal Published Year Pages File Type
4622806 Journal of Mathematical Analysis and Applications 2006 11 Pages PDF
Abstract

This paper is devoted to the investigation on the existence of zeros of monotone operators in reflexive Banach spaces. We first present a sufficient condition under which single-valued monotone operators have zeros. The obtained theorem includes a previous result as a special case. A necessary and sufficient condition for the existence of zeros of maximal monotone operators is presented.

Related Topics
Physical Sciences and Engineering Mathematics Analysis