Modified Relaxed Extragradient Method for a General System of Variational Inequalities and Nonexpansive Mappings in Banach Spaces
The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the framework of real Banach spaces. By using the dem...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/818970 |
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| Summary: | The purpose of this paper is to introduce a new modified relaxed extragradient method and
study for finding some common solutions for a general system of variational inequalities
with inversestrongly monotone mappings and nonexpansive mappings in the framework of
real Banach spaces. By using the demiclosedness principle, it is proved that the iterative
sequence defined by the relaxed extragradient method converges strongly to a common
solution for the system of variational inequalities and nonexpansive mappings under quite
mild conditions. |
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| ISSN: | 1085-3375 1687-0409 |