Modified homotopy methods to solve fixed points of self-mapping in a broader class of nonconvex sets

Menglong Su, Zhenxin Liu

Type: Article

Publication Date: 2007-01-17

Citations: 10

DOI: https://doi.org/10.1016/j.apnum.2006.11.008

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Locations

Applied Numerical Mathematics - View

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Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	A Parameter Perturbation Homotopy Continuation Method for Solving Fixed Point Problems with Both Inequality and Equality Constraints	2017	Menglong Su Yufeng Shang Wenzhuang Zhu
+ PDF Chat	A homotopy algorithm for computing the fixed point of self-mapping with inequality and equality constraints	2016	Zhichuan Zhu Yang Li Yanchun Xing Xiaoyin Wang
+	On the homotopy analysis method for solving a particle transport equation	2012	Olga Martín
+ PDF Chat	Solving Fixed-Point Problems with Inequality and Equality Constraints via a Non-Interior Point Homotopy Path-Following Method	2017	Menglong Su Yufeng Shang
+ PDF Chat	A modified infeasible homotopy algorithm for computing fixed point in general non-convex set	2017	Zhichuan Zhu Ruifeng Wu Yanchun Xing
+ PDF Chat	A constraint shifting homotopy method for computing fixed points on nonconvex sets	2016	Zhichuan Zhu Li Yang
+ PDF Chat	Some inequality techniques in handling fixed point problems on unbounded sets via homotopy methods	2019	Menglong Su Mingji Liu
+	A predictor–corrector algorithm combined conjugate gradient with homotopy interior point for general nonlinear programming	2012	Huang Qing-qun Zhibin Zhu Xiangling Wang
+	An infeasible homotopy method for solving fixed point problems on a general unbounded set	2014	Xiaona Fan Furong Gao Tingting Xu
+ PDF Chat	Existence of an interior path leading to the solution point of a class of fixed point problems	2015	Menglong Su Qian Xiao-hui

Works Cited by This (11)

Action	Title	Year	Authors
+	Topological Methods in Euclidean Spaces	1980	Gregory L. Naber
+	A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results	1976	R. Bruce Kellogg T. Y. Li James A. Yorke
+	An Approach to Homotopy and Degree Theory	1979	C. B. Garcia Willard I. Zangwill
+ PDF Chat	Finding zeroes of maps: homotopy methods that are constructive with probability one	1978	S.N. Chow John Mallet‐Paret James A. Yorke
+	A globally convergent algorithm for computing fixed points of C2 maps	1979	Layne T. Watson
+	Homotopy method for a class of nonconvex Brouwer fixed-point problems	1996	Bo Yu Zhenghua Lin
+ PDF Chat	A constructive proof of the Poincaré-Birkhoff theorem	1995	Yong Li Zheng Hua Lin
+	An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems	1979	Layne T. Watson
+ PDF Chat	Tracking nonlinear equilibrium paths by a homotopy method	1983	Layne T. Watson Siegfried M. Holzer Mark C. Hansen
+ PDF Chat	Numerical Continuation Methods--An Introduction.	1992	Layne T. Watson Eugene L. Allgower Kurt Georg