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On Two Iterative Methods for Mixed Monotone Variational Inequalities
- Source :
- Fixed Point Theory and Applications, Vol 2010, Iss 1, p 291851 (2010)
- Publication Year :
- 2010
- Publisher :
- SpringerOpen, 2010.
-
Abstract
- A mixed monotone variational inequality (MMVI) problem in a Hilbert space is formulated to find a point such that for all , where is a monotone operator and is a proper, convex, and lower semicontinuous function on . Iterative algorithms are usually applied to find a solution of an MMVI problem. We show that the iterative algorithm introduced in the work of Wang et al., (2001) has in general weak convergence in an infinite-dimensional space, and the algorithm introduced in the paper of Noor (2001) fails in general to converge to a solution.
- Subjects :
- Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
Subjects
Details
- Language :
- English
- ISSN :
- 16871820 and 16871812
- Volume :
- 2010
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Fixed Point Theory and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.baf58431687445f1ac3ea1bed303366a
- Document Type :
- article