Results 131 to 140 of about 270 (155)

Linear Complementarity Problem with Pseudomonotonicity on Euclidean Jordan Algebras

Journal of Optimization Theory and Applications, 2013
Given a Euclidean space \(V\) and a symmetric cone \(K\) in \(V\), one can define a multiplication \(\circ \) satisfying the commutative law and the Jordan identity \(\left( x\circ y\right) \circ \left( x\circ x\right) =x\circ \left( y\circ \left( x\circ x\right) \right)\), and such that \(V\) is an algebra and \(K\) coincides with the positive cone in
Jiyuan Tao, Tao Jiyuan
exaly   +2 more sources

Pseudomonotone and Implicit Complementarity Problems

2002
In this chapter, we extend our techniques to the case of infinite qimensional complementarity problems. Especial attention is paid to the latter with pseu-domonotone operators. The second part of the chapter is devoted to Implicit Complementarity Problems with single-valued and multi-valued mappings.
G. Isac, V. A. Bulavsky, V. V. Kalashnikov   +2 more
openaire   +1 more source

Qualitative properties of strongly pseudomonotone variational inequalities

Optimization Letters, 2015
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Kim, Do Sang, Vuong, Phan Tu, Khanh, Pham Duy   +2 more
openaire   +3 more sources

Pseudomonotone operators and the Bregman Proximal Point Algorithm

Journal of Global Optimization, 2009
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Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras

Acta Mathematicae Applicatae Sinica
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Yuan-Min Li
exaly   +3 more sources

On Multistage Pseudomonotone Stochastic Variational Inequalities

Journal of Optimization Theory and Applications, 2023
Xingbang Cui, Jie Sun 0001, Liping Zhang 0008   +2 more
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

Pseudomonotone Variational Inequalities: Convergence of Proximal Methods

Journal of Optimization Theory and Applications, 2001
Let \(H\) be a real Hilbert space and \(K\) be a closed convex subset of \(H\). For a given operator \(T: K\to H\), consider the problem of finding \(u\in K\) such that \[ \langle Tu,v-u\rangle\geq 0,\quad\text{for all }v\text{ in }K.\tag{1} \] Problem (1) is called the variational inequality problem.
openaire   +3 more sources

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

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