Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems
In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented pro...
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th-cmuir.6653943832-65982014-08-30T03:24:23Z Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems Suantai S. Petrot N. In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented problems but also provide the algorithm to find such solutions. Moreover, the stability of such an algorithm is also discussed. The results presented in this paper are more general, and may be viewed as an extension, refinement and improvement of the previously known results in the literature. © 2010 Elsevier Ltd. All rights reserved. 2014-08-30T03:24:23Z 2014-08-30T03:24:23Z 2011 Article 8939659 10.1016/j.aml.2010.10.011 AMLEE http://www.scopus.com/inward/record.url?eid=2-s2.0-78650031389&partnerID=40&md5=5a0f6585473fc2c0122510e7f52160f9 http://cmuir.cmu.ac.th/handle/6653943832/6598 English |
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In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The existence theorems of solutions of such problems are provided by considering the limit point of an iterative algorithm. This means, we not only give the conditions for the existence theorems of the presented problems but also provide the algorithm to find such solutions. Moreover, the stability of such an algorithm is also discussed. The results presented in this paper are more general, and may be viewed as an extension, refinement and improvement of the previously known results in the literature. © 2010 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Suantai S. Petrot N. |
| spellingShingle |
Suantai S. Petrot N. Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| author_facet |
Suantai S. Petrot N. |
| author_sort |
Suantai S. |
| title |
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| title_short |
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| title_full |
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| title_fullStr |
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| title_full_unstemmed |
Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| title_sort |
existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-78650031389&partnerID=40&md5=5a0f6585473fc2c0122510e7f52160f9 http://cmuir.cmu.ac.th/handle/6653943832/6598 |
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1681420643834265600 |