Title of article
On the existence of zeros of monotone operators in reflexive Banach spaces
Author/Authors
Shin-ya Matsushita، نويسنده , , Wataru Takahashi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
11
From page
1354
To page
1364
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.
© 2005 Elsevier Inc. All rights reserved
Keywords
monotone operator , Existence of zeros , Generalized projection , Duality mapping , resolvent , Yosidaapproximation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934962
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