Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions (Q1408325)
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scientific article; zbMATH DE number 1981460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions |
scientific article; zbMATH DE number 1981460 |
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Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions (English)
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15 September 2003
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The author considers a class of generalized nonlinear implicit quasivariational inclusions in a Hilbert space, which contains many classes of variational inclusions and variational inequalities. This problem is converted into a fixed point problem, so that the problem can be solved with the help of modified Ishikawa and Mann algorithms. Their convergence is established under additional Lipschitz continuity and strong monotonicity assumptions.
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generalized implicit quasivariational inclusion
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perturbed Ishikawa type algorithm
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Hilbert space
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variational inequalities
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fixed point problem
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Mann algorithms
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convergence
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