Proximal-Resolvent Methods for Mixed Variational Inequalities
-
Muhammad Aslam Noor
noormaslam@hotmail.com
-
Khalida Inayat Noor
khalidanoor@hotmail.com
Downloads
Abstract
It is well-known that the mixed variational inequalities are equivalent to the fixed point problem. We use this alternative equivalent formulation to suggest and analyze some new proximal resolvent methods for solving mixed variational inequalities. We also study the convergence of these new methods under some mild conditions. These new iterative methods include the projection, extragradient and proximal methods as special cases. Results obtained in this paper represent a refinement and improvement of the previously known results.
Keywords
Similar Articles
- Leigh C. Becker, T. A. Burton, Jensen's Inequality and Liapunov's Direct Method , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Slawomir Kolodziej, The complex Monge-Ampére equation and methods of pluripotential theory , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Charalampos Tsitouras, Explicit Runge-Kutta methods for the numerical solution of initial value problems , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- S. Richard, R. Tiedra de Aldecoa, Commutator criteria for strong mixing II. More general and simpler , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Rubén A. Hidalgo, A sufficiently complicated noded Schottky group of rank three , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Ernest Yankson, Inequalities and sufficient conditions for exponential stability and instability for nonlinear Volterra difference equations with variable delay , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Maja Fosner, Benjamin Marcen, Nejc Sirovnik, On centralizers of standard operator algebras with involution , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Alina Sîntamarian, Euler's constant, new classes of sequences and estimates , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Takashi Noiri, Valeriu Popa, A note on modifications of \(rg\)-closed sets in topological spaces , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- George A. Anastassiou, Multivariate symmetrized, \(q\)-deformed and \(\lambda\)-parametrized hyperbolic tangent induced complex valued trigonometric and hyperbolic neural network enhanced approximation , CUBO, A Mathematical Journal: Vol. 28 No. 2 (2026)
<< < 13 14 15 16 17 18 19 20 21 22 23 24 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2008-10-01
How to Cite
[1]
M. Aslam Noor and K. Inayat Noor, “Proximal-Resolvent Methods for Mixed Variational Inequalities”, CUBO, vol. 10, no. 3, pp. 1–12, Oct. 2008.
Issue
Section
Articles
