Results 121 to 130 of about 270 (155)

Characterizations of pseudomonotone maps and economic equilibrium

Journal of Statistics and Management Systems, 2002
Summary: The paper surveys some recent contributions to the analysis of pseudomonotone maps and their application to economics. It is shown tht the concept of pseudomonotonicity is strongly related to a notion of rationality of consumer behaviour which is well known in economics as a weak version of the weak axiom of revealed preference.
BRIGHI, Luigi, JOHN R.
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The Capacity for Pseudomonotone Operators

Potential Analysis, 2001
The notion of capacity relative to the \(p\)-Laplacian is well known; recently \textit{G. Dal Maso} and \textit{I. V. Skrypnik} [Potential Anal. 7, No. 4, 765-803 (1997; Zbl 0887.31005)] have given a notion of capacity relative to nonlinear elliptic monotone operators of the type \(-\text{div}(a(x,\nabla u))\) and have used this notion to study the ...
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An LQP Method for Pseudomonotone Variational Inequalities

Journal of Global Optimization, 2006
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On strong pseudomonotonicity and (semi)strict quasimonotonicity [PDF]

Journal of Optimization Theory and Applications, 1993
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Nicolas Hadjisavvas, S Schaible, Hadjisavvas N   +2 more
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Pseudomonotone Operators: A Survey of the Theory and Its Applications

Journal of Optimization Theory and Applications, 2011
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Nicolas Hadjisavvas, Siegfried Schaible, Ngai-Ching Wong   +2 more
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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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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 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 variational inequality problems: Existence of solutions

Mathematical Programming, 1997
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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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