Results 111 to 120 of about 748 (160)

Multivalued Parametric Variational Inequalities with α-Pseudomonotone Maps

Journal of Optimization Theory and Applications, 2000
The authors extend previous results for parametric variational inequalities with pseudomonotone maps. The main result concerns the stability property of variational inequalities under small perturbations. This result is applied to derive the stability for a class of parametric optimization problems where the objective functions are sharply pseudoconvex.
Kassay, G., Kolumbán, J.
openaire   +1 more source

New hybrid projection methods for variational inequalities involving pseudomonotone mappings

Optimization and Engineering, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duong Viet Thong, Shehu, Yekini, Iyiola, Olaniyi S., Hoang Van Thang   +3 more
openaire   +2 more sources

Generalized variational-like inequalities with pseudomonotone set-valued mappings

Archiv der Mathematik, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ding, Xie Ping, Tarafdar, E.
openaire   +3 more sources

An Iterative method for split equality variational inequality problems for non-Lipschitz pseudomonotone mappings

Rendiconti del Circolo Matematico di Palermo Series 2, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwelegano, Karabo M. T., Zegeye, Habtu, Boikanyo, Oganeditse A.   +2 more
openaire   +2 more sources

Integration of pseudomonotone maps and the revealed preference problem

Optimization, 2010
When the behaviour of a consumer can be described via a utility function, the consumption, called the demand, is the result of the maximization of the utility function under a constraint budget. The revealed preference problem consists in recovering one utility function (it is not unique) from the demand: it corresponds to the integration of a multi ...
Jean-Pierre Crouzeix, Abdelkrim Keraghel, Nadia Rahmani   +2 more
openaire   +1 more source

On Strong Pseudomonotone and Strong Quasimonotone Maps

2018
We introduce strong pseudomonotone and strong quasimonotone maps of higher order and establish their relationships with strong pseudoconvexity and strong quasiconvexity of higher order, respectively, which yields first-order characterizations of strong pseudoconvex and strong quasiconvex functions of higher order.
Sanjeev Kumar Singh, Avanish Shahi, S. K. Mishra   +2 more
openaire   +1 more source

Pseudomonotonicity of an affine map and the two dimensional case

Journal of Information and Optimization Sciences, 2008
In this paper the pseudomonotonidty of the affine map F(x) = Mx + q on the interior of the positive orthant of ℜ n is studied. A new characterization is suggested involving the positive and the negative polar of the cone generated by the set Wz.star; = {z = Mx + q, x ∈ int The obtained results are applied to the two dimensional case in order to achieve
MARCHI, ANNA, MARTEIN, LAURA
openaire   +2 more sources

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.
openaire   +1 more source

Affine Pseudomonotone Mappings and the Linear Complementarity Problem

SIAM Journal on Matrix Analysis and Applications, 1990
In this article, it is shown that for an affine pseudomonotone mapping, the feasibility of the (linear) complementarily problem implies its solvability. A result of this type was proved earlier by Karamardian under a strict feasibility condition.
openaire   +1 more source

Differential-Operator Inclusions with $$W_{\lambda_0}$$ -Pseudomonotone Maps

2010
In this chapter differential-operator inclusions with non-coercive maps of the Volterra type are studied qualitative and constructively. Such objects describe new mathematical models of non-linear geophysical processes and fields, in particular, piezoelectric processes which require the developing of corresponding non-coercive theory and high-precision
Mikhail Z. Zgurovsky, Valery S. Mel’nik, Pavlo O. Kasyanov   +2 more
openaire   +1 more source