منابع مشابه
Volume difference inequalities for the projection and intersection bodies
In this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. Following this, we establish the Minkowski and Brunn-Minkowski inequalities for volumes difference function of the projection and intersection bodies.
متن کاملProjection Inequalities and Their Linear Preservers
This paper introduces an inequality on vectors in $mathbb{R}^n$ which compares vectors in $mathbb{R}^n$ based on the $p$-norm of their projections on $mathbb{R}^k$ ($kleq n$). For $p>0$, we say $x$ is $d$-projectionally less than or equal to $y$ with respect to $p$-norm if $sum_{i=1}^kvert x_ivert^p$ is less than or equal to $ sum_{i=1}^kvert y_ivert^p$, for every $dleq kleq n$. For...
متن کاملvolume difference inequalities for the projection and intersection bodies
in this paper, we introduce a new concept of volumes difference function of the projection and intersection bodies. following this, we establish the minkowski and brunn-minkowski inequalities for volumes difference function of the projection and intersection bodies.
متن کاملSome new projection methods for variational inequalities
In this paper, we propose some new double-projection methods for solving variational inequalities by using the Wiener–Hopf equations technique. It is shown that these methods converge linearly under mild conditions and include some existing projection methods as special cases. Some examples are given to illustrate the efficiency of the proposed methods. 2002 Elsevier Science Inc. All rights res...
متن کاملProjection Iterative Schemes for General Variational Inequalities
In this paper, we propose some modified projection methods for general variational inequalities. The convergence of these methods requires the monotonicity of the underlying mapping. Preliminary computational experience is also reported.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2020
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-020-2013-0