A boundary perturbation interior point homotopy method for solving fixed point problems (Q629228)
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scientific article; zbMATH DE number 5862722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A boundary perturbation interior point homotopy method for solving fixed point problems |
scientific article; zbMATH DE number 5862722 |
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A boundary perturbation interior point homotopy method for solving fixed point problems (English)
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8 March 2011
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A boundary perturbation interior point homotopy method is proposed to give a constructive proof of the general Brouwer fixed point theorem and thus to solve fixed point problems in a class of nonconvex sets. The authors conclude that compared to previous result, the newly proposed method improves the computational efficiency of reduced predictor-corrector algorithms resulted from that method. Numerical examples are given to illustrate the results.
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fixed point theorem
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nonconvex sets
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initial points
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boundary perturbation interior point homotopy method
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Brouwer fixed point theorem
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computational efficiency
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predictor-corrector algorithms
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numerical examples
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