Auxiliary principle for generalized nonlinear variational-like inequalities (Q885640)
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scientific article; zbMATH DE number 5164294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Auxiliary principle for generalized nonlinear variational-like inequalities |
scientific article; zbMATH DE number 5164294 |
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Auxiliary principle for generalized nonlinear variational-like inequalities (English)
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14 June 2007
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Summary: We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like inequalities. By using the auxiliary principle technique, we construct a new iterative scheme for solving the class of the generalized nonlinear variational-like inequalities. The convergence of the sequence generated by the iterative algorithm is also discussed. Our results extend and unify the corresponding results due to Ding, Liu, Ume, Kang, Yao, and others.
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iterative algorithms
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general nonlinear mixed variational inequalities in reflexive Banach spaces
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Glowinski's auxiliary principle technique
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