Generalized AOR Method for Solving Absolute Complementarity Problems
Joint Authors
al-Said, Eisa A.
Iqbal, Javed
Noor, Khalida Inayat
Aslam Noor, Muhammad
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We introduce and consider a new class of complementarity problems, which is called the absolute value complementarity problem.
We establish the equivalence between the absolute complementarity problems and the fixed point problem using the projection operator.
This alternative equivalent formulation is used to discuss the existence of a solution of the absolute value complementarity problem.
A generalized AOR method is suggested and analyzed for solving the absolute the complementarity problems.
We discuss the convergence of generalized AOR method for the L-matrix.
Several examples are given to illustrate the implementation and efficiency of the method.
Results are very encouraging and may stimulate further research in this direction.
American Psychological Association (APA)
Aslam Noor, Muhammad& Iqbal, Javed& Noor, Khalida Inayat& al-Said, Eisa A.. 2012. Generalized AOR Method for Solving Absolute Complementarity Problems. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993614
Modern Language Association (MLA)
Aslam Noor, Muhammad…[et al.]. Generalized AOR Method for Solving Absolute Complementarity Problems. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-993614
American Medical Association (AMA)
Aslam Noor, Muhammad& Iqbal, Javed& Noor, Khalida Inayat& al-Said, Eisa A.. Generalized AOR Method for Solving Absolute Complementarity Problems. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-993614
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993614