On the existence of zeros of monotone operators in reflexive Banach spaces

[摘要] 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. (c) 2005 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] monotone operator;existence of zeros;duality mapping;generalized projection;resolvent;Yosida approximation