A continuation method for solving fixed points of self-mappings in general nonconvex sets

DOI10.1016/S0362-546X(02)00140-2zbMath1020.65030OpenAlexW2020401288MaRDI QIDQ1863476

Bo Yu, Zhenghua Lin, Dao-Li Zhu

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(02)00140-2

zbMATH Keywords

fixed pointinterior-point methodhomotopy methodcontinuation methodself-mappingnon-convex set

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (6)

Homotopy method for a class of multiobjective optimization problems with equilibrium constraints ⋮ A boundary perturbation interior point homotopy method for solving fixed point problems ⋮ Strong convergence on the aggregate constraint-shifting homotopy method for solving general nonconvex programming ⋮ A relaxed fixed point method for a mean curvature-based denoising model ⋮ Homotopy method for a mean curvature-based denoising model ⋮ Nonconvex Variational Inequalities

Cites Work

• Unnamed Item
• A combined homotopy interior point method for convex nonlinear programming
• Homotopy method for a class of nonconvex Brouwer fixed-point problems
• A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
• Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
• Existence of an interior pathway to a Karush-Kuhn-Tucker point of a nonconvex programming problem

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