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Volume 7, Issue 2, Article 72 |
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Iterative Algorithm for A New System of Nonlinear Set-Valued Variational Inclusions Involving $(H, \eta)$ -monotone Mappings
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Authors: |
Mao-Ming Jin, |
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Keywords:
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$(H,eta)$-monotone mapping; System of nonlinear set-valued variational inclusions; Resolvent operator method; Iterative algorithm. |
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Date Received:
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05/11/05 |
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Date Accepted:
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28/12/05 |
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Subject Codes: |
49J40; 47H10.
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Editors: |
Ram U. Verma, |
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Abstract: |
In this paper, a new system of nonlinear set-valued variational inclusions involving  -monotone mappings in Hilbert spaces is introduced and studied. By using the resolvent operator method associated with -monotone mappings, an existence theorem of solutions for this kind of system of nonlinear set-valued variational inclusion is established and a new iterative algorithm is suggested and discussed. The results presented in this paper improve and generalize some recent results in this field.
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