Results 261 to 270 of about 70,868 (290)

Global Method for Monotone Variational Inequality Problems with Inequality Constraints

Journal of Optimization Theory and Applications, 1997
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Some Norm Inequalities for Completely Monotone Functions

SIAM Journal on Matrix Analysis and Applications, 2000
Summary: Let \(A\), \(B\) be \(n\times n\) complex positive semidefinite matrices, and let \(f\) be a completely monotone function on \([0,\infty)\). We prove that \(2|||f(A+ B)|||\leq |||f(2A)+ f(2B)|||\) for all unitarily invariant norms \(|||\cdot |||\).
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Vector Variational Inequalities with Semi-monotone Operators

Journal of Global Optimization, 2005
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Extended Projection Methods for Monotone Variational Inequalities

Journal of Optimization Theory and Applications, 1999
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Some sharp inequalities for n-monotone functions

Acta Mathematica Hungarica, 2005
Let \(n\in \mathbb N\) and \(f\:[a,b]\rightarrow\mathbb R\). Recall that \(f\) is said to be \(n\)-monotone on \([a,b]\) if, for all choices of distinct points \(x_0,\dots,x_n\) in \([a,b]\), \(f[x_0,\dots,x_n]\geq 0\), where \(f[x_0,\dots,x_n]\) is the \(n\)-th order divided difference of \(f\) at \(x_0,\dots,x_n\).
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MATRIX MONOTONE FUNCTIONS TYPE INEQUALITIES

Far East Journal of Mathematical Sciences (FJMS), 2021
M. Al-Hawari, Mohammad Abd Allah Migdady
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Optimal Control of Strongly Monotone Variational Inequalities

SIAM Journal on Control and Optimization, 1988
The author considers nonconvex optimal control problems for general strongly monotone variational inequalities. The main result of the paper is the construction of necessary conditions of optimality. In the derivation of these conditions the problem is penalized; using variational tools as Ekeland's principle, the lopsided minimax theorem and a ...
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Monotone Operators and Variational Inequalities

2018
A quasilinear operator is not always the differential of a functional of the calculus of variations. The abstract concept of monotone operator, and more generally of quasi-monotone operator, makes it possible to go further than the calculus of variations in the convex case.
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Monotone multigrid methods for elliptic variational inequalities II

Numerische Mathematik, 1994
The following nonsmooth optimization problem is considered: \[ \min\{J(u)+\phi(u): u\in H^1_0(\Omega)\}, \] where \[ J(u)=\textstyle{{1\over 2}} a(u,u)-\ell(u),\;\phi(u)=\displaystyle{\int_\Omega}\Phi(u(x))dx, \] \(a(\cdot,\cdot)\) is a continuous, symmetric and \(H^1_0(\Omega)\)-elliptic bilinear form, \(\ell\in H^{-1}(\Omega)\) and \(\Phi\) is a ...
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Weighted trace inequalities of monotonicity

2007
Let \(M_{n}^{h}\) and \(M_{n}^{+}\) denote the subsets of Hermitian and positive definite matrices, respectively. The spectrum of a matrix \(A\in M_{n}\) is denoted by \(\sigma (A)\). Among the weighted trace inequalities that are obtained by the authors, we mention the following important inequality: Theorem.
Hoa D., Tikhonov O.
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