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
- Juan A. Gatica, Fixed Point Theorems with Applications to Differential Equations , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Daciberg L. Gonçalves, Nielsen Fixed Point Theory , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Saroj Panigrahi, Sandip Rout, Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Saïd Abbas, Mouffak Benchohra, Jamal-Eddine Lazreg, Gaston M. N‘Guérékata, Hilfer and Hadamard functional random fractional differential inclusions , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Smaïl Djebali, Ouiza Saifi, Upper and lower solutions for φ−Laplacian third-order BVPs on the half-Line , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Mouffak Benchohra, Gaston M. N‘Guérékata, Djamila Seba, Measure of noncompactness and nondensely defined semilinear functional differential equations with fractional order , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Toufik Moussaoui, Radu Precup, Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Abderrahim Guerfi, Abdelouaheb Ardjouni, Existence, uniqueness, continuous dependence and Ulam stability of mild solutions for an iterative fractional differential equation , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Chengjun Guo, Donal O‘Regan, Ravi P. Agarwal, Existence of Periodic Solutions for a Class of Second-Order Neutral Differential Equations with Multiple Deviating Arguments , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
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
