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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/152023 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552023491346432 |
|---|---|
| author | Bin-Chao Deng Tong Chen Baogui Xin |
| author_facet | Bin-Chao Deng Tong Chen Baogui Xin |
| author_sort | Bin-Chao Deng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8331fe47f2df48aea594c94e47e72882 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8331fe47f2df48aea594c94e47e728822025-02-03T05:59:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/152023152023A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert SpacesBin-Chao Deng0Tong Chen1Baogui Xin2School of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaWe 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.http://dx.doi.org/10.1155/2012/152023 |
| spellingShingle | Bin-Chao Deng Tong Chen Baogui Xin 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 Journal of Applied Mathematics |
| title | 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 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | 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 |
| title_sort | viscosity approximation scheme for finding common solutions of mixed equilibrium problems a finite family of variational inclusions and fixed point problems in hilbert spaces |
| url | http://dx.doi.org/10.1155/2012/152023 |
| work_keys_str_mv | AT binchaodeng aviscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces AT tongchen aviscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces AT baoguixin aviscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces AT binchaodeng viscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces AT tongchen viscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces AT baoguixin viscosityapproximationschemeforfindingcommonsolutionsofmixedequilibriumproblemsafinitefamilyofvariationalinclusionsandfixedpointproblemsinhilbertspaces |