A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces
We introduce an iterative method for finding a common element of set of fixed points of nonexpansive mappings, the set of solutions of a finite family of variational inclusion with set-valued maximal monotone mappings and inverse strongly monotone mappings, and the set of solutions of a mixed equili...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/152023 |
| Summary: | We introduce an iterative method for finding a common
element of set of fixed points of nonexpansive mappings, the set of
solutions of a finite family of variational inclusion with
set-valued maximal monotone mappings and inverse strongly monotone
mappings, and the set of solutions of a mixed equilibrium problem in
Hilbert spaces. Under suitable conditions, some strong convergence
theorems for approximating this common elements are proved. The
results presented in the paper improve and extend the main results
of Plubtemg and Sripard and many others. |
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| ISSN: | 1110-757X 1687-0042 |