System of Nonlinear Set-Valued Variational Inclusions Involving a Finite Family of H(·,·)-Accretive Operators in Banach Spaces
We study a new system of nonlinear set-valued variational inclusions involving a finite family of H(·,·)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of H(·,·)-accretive operators, we prove the existence of the solution for the syste...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/560248 |
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| Summary: | We study a new system of nonlinear set-valued variational inclusions involving a finite family
of H(·,·)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family
of H(·,·)-accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational
inclusions. Moreover, we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system. |
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| ISSN: | 1110-757X 1687-0042 |