کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
844486 | 908595 | 2007 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A new condition for maximal monotonicity via representative functions A new condition for maximal monotonicity via representative functions](/preview/png/844486.png)
In this paper we give a weaker sufficient condition for the maximal monotonicity of the operator S+A∗TAS+A∗TA, where S:X⇉X∗S:X⇉X∗, T:Y⇉Y∗T:Y⇉Y∗ are two maximal monotone operators, A:X→YA:X→Y is a linear continuous mapping and X,YX,Y are reflexive Banach spaces. We prove that our condition is weaker than the generalized interior-point conditions given so far in the literature. This condition is formulated using the representative functions of the operators involved. In particular, we rediscover some sufficient conditions given in the past using the so-called Fitzpatrick function for the maximal monotonicity of the sum of two maximal monotone operators and for the precomposition of a maximal monotone operator with a linear operator, respectively.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 67, Issue 8, 15 October 2007, Pages 2390–2402