Results 101 to 110 of about 709 (123)

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

Periodic solutions of nonlinear evolution equations with $$W_{\lambda _0 } $$ -pseudomonotone maps

Nonlinear Oscillations, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kas'yanov, P. O., Mel'nik, V. S., Toscano, S.   +2 more
openaire   +2 more sources

Complementarity problems over cones with monotone and pseudomonotone maps

Journal of Optimization Theory and Applications, 1976
The notion of a monotone map is generalized to that of a pseudomonotone map. It is shown that a differentiable, pseudoconvex function is characterized by the pseudomonotonicity of its gradient. Several existence theorems are established for a given complementarity problem over a certain cone where the underlying map is either monotone or pseudomonotone
openaire   +1 more source

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 ...
openaire   +1 more source

Differential-operator inclusions and multivariational inequalities with pseudomonotone mappings

Cybernetics and Systems Analysis, 2010
The author investigates functional-topological properties of resolving operators of differential inclusions and multi-variational inequalities with quasi-monotone mappings.
openaire   +2 more sources

Evolution by pseudomonotone or weakly continuous mappings

2012
As already advertised in the previous Chapter 7, evolution problems involve one variable, a time t, having a certain specific character and thus a specific treatment is useful, although some methods (applicable under special circumstances, see Sections 8.9 and 8.10) can wipe this specific character off.
openaire   +1 more source

Evolution inequalities with noncoercive $w_{{{\rm{\lambda}}_{0}}}$ -pseudomonotone volterra-type mappings

Ukrainian Mathematical Journal, 2008
We consider a class of differential-operator inequalities with noncoercive $w_{{{\rm{\lambda}}_{0}}}$ -pseudomonotone operators. The problem of existence of a solution of the Cauchy problem for these inequalities is investigated by the Dubinskii method.
P. O. Kas’yanov, V. S. Mel’nyk
openaire   +1 more source

Faedo–galerkin method for second-order evolution inclusions with W λ-pseudomonotone mappings

Ukrainian Mathematical Journal, 2009
A class of second-order operator differential inclusions with W λ-pseudomonotone mappings is considered. The problem of the existence of solutions of the Cauchy problem for these inclusions is investigated by using the Faedo–Galerkin method. Important a priori estimates are obtained for solutions and their derivatives.
N. V. Zadoyanchuk, P. O. Kas’yanov
openaire   +1 more source