Results 131 to 140 of about 332 (162)

On the Tikhonov regularization of affine pseudomonotone mappings

Optimization Letters, 2013
The author gives some characterizations of the pseudomonotonicity in connection with the affine mappings on a nonempty closed convex subset \(K\subset \mathbb{R}^n\) and the non-negative orthant \(\mathbb{R}^{n}_{+}\), respectively. The author describes a class of affine pseudomonotone mappings whose regularized operators are not pseudomonotone.
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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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On pseudomonotone set-valued mappings

Nonlinear Analysis: Theory, Methods & Applications, 2008
A common generalization of the algebraic and topological pseudomonotonicity for set-valued mappings in topological vector spaces is introduced. Existence results for variational inequalities governed by such maps are given.
Inoan, D., Kolumbán, J.
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Pseudomonotone variational inequality problems: Existence of solutions

Mathematical Programming, 1997
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Continuity and Maximality Properties of Pseudomonotone Operators

Journal of Convex Analysis, 2003
Given a Banach space X, a multivalued operator T\colon X \to 2^{X^*} T
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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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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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Qualitative properties of strongly pseudomonotone variational inequalities

Optimization Letters, 2015
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Kim, Do Sang, Vuong, Phan Tu, Khanh, Pham Duy   +2 more
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Pseudomonotone operators and the Bregman Proximal Point Algorithm

Journal of Global Optimization, 2009
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Pseudomonotone or weakly continuous mappings

2012
The basic modern approach to boundary-value problems in differential equations of the type (0.1)–(0.2) is the so-called energy-method technique which took the name after a-priori estimates having sometimes physical analogies as bounds of an energy.1 This technique originated from modern theory of linear partial differential equations where, however ...
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