Results 61 to 70 of about 898 (112)

On the transpose of a pseudomonotone matrix and the LCP [PDF]

, 1990
In the study of linear complementary problem, it is known that pseudomonotone matrices belong to the class P0 ∩ Q0. In this note we show that under certain conditions, such as invertibility or normality, the transpose of a pseudomonotone matrix belongs ...
Gowda, M.Seetharama
core   +1 more source

A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities [PDF]

, 2016
This article proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the iterative sequences' convergence and of the range of applicability of the method is provided.
Khanh, Pham Duy
core   +1 more source

An inertial viscosity algorithm for equilibrium problems with application to signal restoration

Journal of Inequalities and Applications
In this article, we propose an improved viscosity algorithm for solving pseudomonotone equilibrium problems. A strong convergence theorem is established under certain conditions on the bifunction, along with suitable assumptions on the initial parameters
Sujitha Pushparaj, Nathiya N, Pulak Konar   +2 more
doaj   +1 more source

Closedness of the solution map in quasivariational inequalities of Ky Fan type

, 2013
This paper is mainly concerned with the stability analysis of the set-valued solution mapping for a parametric quasivariational inequality of Ky Fan type.
GIULI, MASSIMILIANO
core   +1 more source

Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets [PDF]

, 2010
We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex ...
Mohammad S. R. Chowdhury, Yeol Je Cho
core   +2 more sources

Convergence of Adaptive Algorithms for Equilibrium Problems in Hadamard Spaces

Journal of Optimization, Differential Equations and Their Applications
In this paper, we consider the equilibrium problems under the setting of Hadamard spaces. For an approximate solution of equilibrium problems, iterative adaptive two-stage proximal algorithms are proposed and studied.
Serhii V. Denysov, Oleksandra Yu. Kovalenko, Vladimir V. Semenov   +2 more
doaj   +1 more source

Method for Approximating Solutions to Equilibrium Problems and Fixed-Point Problems without Some Condition Using Extragradient Algorithm

Axioms
The objective of this research is to present a novel approach to enhance the extragradient algorithm’s efficiency for finding an element within a set of fixed points of nonexpansive mapping and the set of solutions for equilibrium problems. Specifically,
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Pseudomonotone diagonal subdifferential operators

, 2013
Let f be an equilibrium bifunction defined on the product space X x X, where X is a Banach space. If f is locally Lipschitz with respect to the second variable, for every x in X we define T_f(x) as the Clarke subdifferential of f(x,\\cdot) evaluated at x.
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core  

A Range and Existence Theorem for Pseudomonotone Perturbations of Maximal Monotone Operators [PDF]

, 2011
In this paper, we prove a range and existence theorem for multivalued pseudomonotone perturbations of maximal monotone operators. We assume a general coercivity condition on the sum of a maximal monotone and a pseudomonotone operator instead of a ...
Vy Khoi Le, Le, Vy Khoi
core   +1 more source

A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]

, 2008
The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
core   +1 more source