Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems
<p>Abstract</p> <p>In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infin...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/1/38 |
| Summary: | <p>Abstract</p> <p>In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.</p> |
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| ISSN: | 1687-1820 1687-1812 |