Results 101 to 110 of about 505 (126)

On paramonotone and pseudomonotone* maps

Journal of Global Optimization, 2009
We present a brief survey on two classes of single-valued and multivalued maps: the paramonotone maps and the pseudomonotone* maps. The former concept was introduced for the rst time in [5], the latter in [7] and it was slightly modied in [10]. These two concepts permit to characterize in a stronger way convex and pseudoconvex functions.
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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Pseudomonotone variational inequality problems

Mathematical Programming, 1997
Necessary and sufficient conditions for the set of solutions of a pseudomonotone variational inequality problem to be nonempty and compact are given..
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Pseudomonotone Variational Inequalities: Convergence of Proximal Methods

Journal of Optimization Theory and Applications, 2001
Let \(H\) be a real Hilbert space and \(K\) be a closed convex subset of \(H\). For a given operator \(T: K\to H\), consider the problem of finding \(u\in K\) such that \[ \langle Tu,v-u\rangle\geq 0,\quad\text{for all }v\text{ in }K.\tag{1} \] Problem (1) is called the variational inequality problem.
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Proximal Point Algorithms for Quasiconvex Pseudomonotone Equilibrium Problems

Journal of Optimization Theory and Applications, 2021
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A. Iusem, F. Lara
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Extragradient Methods for Pseudomonotone Variational Inequalities

Journal of Optimization Theory and Applications, 2003
One of the most known approaches for constructing projection-based methods converging to a solution of a variational inequality under generalized monotonicity consists in incorporating a predictor step for computing parameters of a separating hyperplane and for providing the the Fejér-monotone convergence.
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Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations

Journal of Optimization Theory and Applications, 1999
Variational inequalities and generalized variational inequalities with perturbed operators and constraints are considered and convergence of solutions to such problems is proved under an assumption of pseudomonotonicity. The paper extends previous results given by the authors proved in the setting of monotone operators.
LIGNOLA, MARIA BEATRICE, MORGAN, JACQUELINE   +1 more
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Some Results on Strongly Pseudomonotone Quasi-Variational Inequalities

Set-Valued and Variational Analysis, 2019
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Luong V. Nguyen, Xiaolong Qin
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Pseudomonotone general mixed variational inequalities

Applied Mathematics and Computation, 2003
Let \(K\) be a nonempty closed convex subset of a Hilbert space \(H\), \(T,g:H\rightarrow H\) be two nonlinear operators and \(\varphi:X\rightarrow\mathbb{R}\cup\{+\infty\}.\) The author considers the ``general mixed variational inequality problem'', that is, the problem of finding \(u\in H\) such that \[ \langle T(u),g(v)-g(u)\rangle+\varphi(g(v ...
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Pseudomonotone and Implicit Complementarity Problems

2002
In this chapter, we extend our techniques to the case of infinite qimensional complementarity problems. Especial attention is paid to the latter with pseu-domonotone operators. The second part of the chapter is devoted to Implicit Complementarity Problems with single-valued and multi-valued mappings.
G. Isac, V. A. Bulavsky, V. V. Kalashnikov   +2 more
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An LQP Method for Pseudomonotone Variational Inequalities

Journal of Global Optimization, 2006
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