About Strongly Fejér Monotone Mappings and Their Relaxations
Zeitschrift für Analysis und ihre Anwendungen, 1997We consider the general class of strongly Fejér monotone mappings and some of their basic properties. These properties are useful for a convergence theory of corresponding iterative methods which are widely used to solve convex problems.
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Strongly η-representable degrees and limitwise monotonic functions
Algebra and Logic, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A continuation method for (strongly) monotone variational inequalities
Mathematical Programming, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kanzow, Christian, Jiang, Houyuan
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Strongly monotone q-functions and a note on strong ergodicity of monotone q-functions
Statistics & Probability Letters, 2007A transition function \( P\left( t\right) =(p_{ij}\left( t\right) )_{i,j\in \mathbb{N}},t\geq 0\), is said to be strongly monotone if \(\sum_{k\geq j}p_{ik}\left( t\right) \) and \( p_{ij}\left( t\right) \rightarrow 0\) as \(i\rightarrow \infty \) for any \(j\in \mathbb{N}\) and \(t\geq 0\). For a stable \(q\)-matrix \(Q\), the author gives a necessary
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Complicated dynamics for low-dimensional strongly monotone maps
Nonlinear Analysis: Theory, Methods & Applications, 1997Let \(X\) be a strongly ordered Banach space, \(P:X\to X\) be a completely continuous, \(C^1\), point-dissipative map whose derivative is strongly positive at every point of \(X\). Then there is a positive integer \(q\) and an open dense set of \(U\subset X\) such that the omega limit set of every point of \(U\) is a periodic orbit with at most \(q ...
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Iterative algorithms involving generalized inverse strongly monotone mapping
ANNALI DELL'UNIVERSITA' DI FERRARAzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bashir Ali, Abdulnasir Bala Nuhu
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Cea's error estimate for strongly monotone variational inequalities
Applicable Analysis, 1992Cea's approximation lemma is extended to variational inequalities which are defined by strongly monotone operators in closed convex subsets of linear normed spaces. This abstract error estimate is applied to the finite element discretization of a nonlinear elliptic two-sided obstacle problem providing an asymptotic error estimate for a smooth enough ...
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Douglas–Rachford Splitting for the Sum of a Lipschitz Continuous and a Strongly Monotone Operator
Journal of Optimization Theory and Applications, 2019W. Moursi, L. Vandenberghe
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Generic behavior of flows strongly monotone with respect to high-rank cones
Journal of Differential Equations, 2019Lirui Feng, Yi Wang, Jianhong Wu
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Error bounds for strongly monotone and Lipschitz continuous variational inequalities
Optimization Letters, 2018K. Pham, Minh N. Bùi
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