Journal of applied mathematics & informatics
- Volume 26 Issue 3_4
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- Pages.481-491
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- 2008
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
SOME ITERATIVE ALGORITHMS FOR THE GENERALIZED MIXED EQUILIBRIUM-LIKE PROBLEMS
- Liu, Zeqing (Department of Mathematics, Liaoning Normal University) ;
- Chen, Zhengsheng (School of Management Science, Dalian University of Technology) ;
- Kang, Shin-Min (Department of Mathematics and the Research Institute of Natural Science, Gyeongang National University)
- Published : 2008.05.31
Abstract
In this paper, we introduce and analyze a new class of generalized mixed equilibrium-like problems. By using the auxiliary principle technique, we suggest three iterative algorithms for the generalized mixed equilibrium-like problem. Under certain conditions, we establish the convergence of the iterative algorithms. Our results extend, improve and unify several known results in this field.
Keywords
- Generalized mixed equilibrium-like problem;
- auxiliary principle technique;
- iterative algorithms;
- convergence