Results 111 to 120 of about 505 (126)

Noncooperative Games with Vector Payoffs Under Relative Pseudomonotonicity

Journal of Optimization Theory and Applications, 2003
This article concerns existence results for vector equilibria in topological spaces. The proofs are based on a generalized monotonicity concept proposed by one of the authors [\textit{I. Konnov}, Oper. Res. Lett. 28, 21--26 (2001; Zbl 0994.49004)]. In the present paper stronger results are proved than the ones achieved until now using this generalized ...
ALLEVI, Elisabetta, A. GNUDI, I. KONNOV, S. SCHAIBLE   +3 more
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Pseudomonotone diagonal subdifferential operators

2013
Summary: Let \(f\) be an equilibrium bifunction defined on the product space \(\mathbb X\times \mathbb X\), where \(\mathbb X\) is a Banach space. If \(f\) is locally Lipschitz with respect to the second variable, for every \(x\in \mathbb X\) we define \(T_f(x)\) as the Clarke subdifferential of \(f(x,\cdot)\) evaluated at \(x\).
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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SET-VALUED PSEUDOMONOTONE MAPS AND DEGENERATE EVOLUTION INCLUSIONS

Communications in Contemporary Mathematics, 1999
We develop the theory of evolution inclusions for set-valued pseudomonotone maps. The problems we investigate are [Formula: see text] where B=B(t) is a linear operator that may vanish and A is a set-valued pseudomonotone operator. We prove the existence of unique solutions of such, possibly degenerate, problems.We apply the theory to the problem of ...
Kuttler, Kenneth L., Shillor, Meir
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Pseudomonotone Complementarity Problems and Variational Inequalities

2006
In this chapter, we report recent results mainly on existence for complementarity problems and variational inequalities in infinite-dimensional spaces under generalized monotonicity, especially (algebraic) pseudomonotonicity. Variational inequalities associated to a topological pseudomonotone operator have been also considered and some possible ...
Jen-Chih Yao, Ouayl Chadli
openaire   +1 more source

Parametric Equilibrium Problems Governed by Topologically Pseudomonotone Bifunctions

Mathematica Slovaca, 2015
Abstract Closedness of the solution map is investigated for a sequence of parametric inequality problems related to a “limit” problem governed by a pseudomonotone bifunction. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.
Bogdan, Marcel, Pascali, Eduardo
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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

Multi-valued variational inequalities with K-pseudomonotone operators

Journal of Optimization Theory and Applications, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Splitting Algorithms for General Pseudomonotone Mixed Variational Inequalities

Journal of Global Optimization, 2000
Let \(H\) be a real Hilbert space, \(\varphi:H\to (-\infty, +\infty]\) a proper convex lower semicontinuous function, and \(T,g\) two mappings from \(H\) to \(H\). In this paper, the author considers the following general mixed variational inequality of finding \(u\in H\) such that \[ (Tu,g(v)-g(u))+\varphi(g(v))-\varphi(g(u))\geq 0 \] for all \(g(v ...
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Pseudomonotone operators and the Bregman Proximal Point Algorithm

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources