Results 141 to 150 of about 332 (162)

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 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
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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 Nonlinear Transformations on Euclidean Jordan Algebras

Acta Mathematicae Applicatae Sinica
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Pseudomonotonicity and nonlinear hyperbolic equations

1997
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.
openaire   +1 more source

Existence Theorems for Generalized Vector Variational Inequalities With Pseudomonotonicity and Their Applications

Taiwanese Journal of Mathematics, 2008
Jen-Chih Yao, G Y Chen, X X Huang
exaly  

Weakly Relaxed α-Pseudomonotonicity and Equilibrium Problem in Banach Spaces

Journal of Applied Mathematics and Computing, 2012
C Nahak
exaly  

Brezis Pseudomonotonicity Is Strictly Weaker Than Ky–Fan Hemicontinuity

Journal of Optimization Theory and Applications, 2019
Daniel Steck
exaly  

New Generalised Mixed Vector Variational-Like Inequalities With Semi-η-Pseudomonotonicity

International Journal of Mathematics in Operational Research, 2018
Prashanta Majee, Chandal Nahak
exaly