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WEAK CONVERGENCE THEOREM BY A MODIFIED EXTRAGRADIENT METHOD FOR NONEXPANSIVE MAPPINGS AND MONOTONE MAPPINGS
- Source :
- Taiwanese J. Math. 13, no. 1 (2009), 225-238
- Publication Year :
- 2009
- Publisher :
- The Mathematical Society of the Republic of China, 2009.
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Abstract
- In this paper, we introduce a modified extragradient method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for a monotone and Lipschitz continuous mapping. Our modified extragradient method is a variant of the so-called extragradient method. We obtain a weak convergent theorem for two sequences generated by this modified extragradient method.
Details
- ISSN :
- 10275487
- Volume :
- 13
- Database :
- OpenAIRE
- Journal :
- Taiwanese Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....19daf38993945f2e2dd389601f3f0e5d