Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities
Joint Authors
Zainab, Saira
Noor, Khalida Inayat
Aslam Noor, Muhammad
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce and consider a new class of equilibrium problems and variational inequalities involving bifunction, which is called the nonconvex bifunction equilibrium variational inequality.
We suggest and analyze some iterative methods for solving the nonconvex bifunction equilibrium variational inequalities using the auxiliary principle technique.
We prove that the convergence of implicit method requires only monotonicity.
Some special cases are also considered.
Our proof of convergence is very simple.
Results proved in this paper may stimulate further research in this dynamic field.
American Psychological Association (APA)
Aslam Noor, Muhammad& Noor, Khalida Inayat& Zainab, Saira. 2012. Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1028800
Modern Language Association (MLA)
Aslam Noor, Muhammad…[et al.]. Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities. Journal of Applied Mathematics No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-1028800
American Medical Association (AMA)
Aslam Noor, Muhammad& Noor, Khalida Inayat& Zainab, Saira. Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-1028800
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028800