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A Parameter Perturbation Homotopy Continuation Method for Solving Fixed Point Problems with Both Inequality and Equality Constraints
Joint Authors
Shang, Yufeng
Zhu, Wenzhuang
Su, Menglong
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we propose a parameter perturbation homotopy continuation method for solving fixed point problems on more general nonconvex sets with both inequality and equality constraints.
By adopting appropriate techniques, we make the initial points not certainly in the set consisting of the equality constraints.
This point can improve the computational efficiency greatly when the equality constraints are complex.
In addition, we also weaken the assumptions of the previous results in the literature so that the method proposed in this paper can be applied to solve fixed point problems in more general nonconvex sets.
Under suitable conditions, we obtain the global convergence of this homotopy continuation method.
Moreover, we provide several numerical examples to illustrate the results of this paper.
American Psychological Association (APA)
Su, Menglong& Shang, Yufeng& Zhu, Wenzhuang. 2017. A Parameter Perturbation Homotopy Continuation Method for Solving Fixed Point Problems with Both Inequality and Equality Constraints. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190330
Modern Language Association (MLA)
Su, Menglong…[et al.]. A Parameter Perturbation Homotopy Continuation Method for Solving Fixed Point Problems with Both Inequality and Equality Constraints. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1190330
American Medical Association (AMA)
Su, Menglong& Shang, Yufeng& Zhu, Wenzhuang. A Parameter Perturbation Homotopy Continuation Method for Solving Fixed Point Problems with Both Inequality and Equality Constraints. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1190330
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190330