Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems
We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative sch...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/656534 |
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| _version_ | 1832558348434669568 |
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| author | Bashir Ali |
| author_facet | Bashir Ali |
| author_sort | Bashir Ali |
| collection | DOAJ |
| description | We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results. |
| format | Article |
| id | doaj-art-d860e9d0aabc4c4facc03aca79db2d78 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d860e9d0aabc4c4facc03aca79db2d782025-02-03T01:32:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/656534656534Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities ProblemsBashir Ali0Mathematics Stream, African University of Science and Technology, Abuja, NigeriaWe prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results.http://dx.doi.org/10.1155/2009/656534 |
| spellingShingle | Bashir Ali Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems International Journal of Mathematics and Mathematical Sciences |
| title | Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems |
| title_full | Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems |
| title_fullStr | Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems |
| title_full_unstemmed | Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems |
| title_short | Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems |
| title_sort | fixed points approximation and solutions of some equilibrium and variational inequalities problems |
| url | http://dx.doi.org/10.1155/2009/656534 |
| work_keys_str_mv | AT bashirali fixedpointsapproximationandsolutionsofsomeequilibriumandvariationalinequalitiesproblems |