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Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems.
- Source :
-
International Journal of Mathematics & Mathematical Sciences . 2011, p1-31. 31p. - Publication Year :
- 2011
-
Abstract
- We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the set of solution of the variational inequality operators of an inverse strongly monotone in a Banach space under different conditions. Moreover, applications to complementarity problems are given. Our results modify and improve the recently announced ones by Li and Song (2008) and many authors. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01611712
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics & Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 71101024
- Full Text :
- https://doi.org/10.1155/2011/174796