Results 121 to 130 of about 332 (162)

On the Scalarization of Pseudoconcavity and Pseudomonotonicity Concepts for Vector Valued Functions

Nonconvex Optimization and Its Applications, 1998
In this paper we continue the study of polar generalized convexity of vector valued functions initiated in [6]. Our aim now is to give first order characterization for special classes of vector valued directionally differentiable pseudoconcave functions ...
Riccardo Cambini
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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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On Pseudomonotone Maps T for which -T is also Pseudomonotone

Journal of Convex Analysis, 2003
Recently pseudomonotone variational inequalities have been studied quite extensively, hereby extending the theory of pseudoconvex minimization problems. The focus of the present work are "pseudoaffine maps", i.e., pseudomonotone maps T for which -T is also pseudomonotone. A particular case of such maps are the gradients of pseudolinear functions.
Bianchi, Monica, Hadjisavvas, Nicolas, Schaible, Siegfried   +2 more
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Nonlinear Elliptic-Parabolic Equations and B-Pseudomonotonicity

Applied Mathematics Letters, 1996
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Emmanuel Maitre
exaly   +2 more sources

Solution Methods for Pseudomonotone Variational Inequalities

Journal of Optimization Theory and Applications, 2008
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Tam, N. N., Yao, J. C., Yen, N. D.
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On Nonconvex Pseudomonotone Equilibrium Problems with Applications

Set-Valued and Variational Analysis, 2021
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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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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 Strong Pseudomonotonicity and (Semi)Strict Quasimonotonicity [PDF]

Journal of Optimization Theory and Applications, 1993
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Nicolas Hadjisavvas
exaly   +2 more sources