A dynamical system method for solving the split convex feasibility problem | Zendy

Zengzhen Tan | Zendy; Rong Hu | Zendy; Ming Zhu | Zendy; Ya-Ping Fang | Zendy

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A dynamical system method for solving the split convex feasibility problem

Author(s) -

Zengzhen Tan,

Rong Hu,

Ming Zhu,

Ya-Ping Fang

Publication year - 2020

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2020104

Subject(s) - regular polygon , bounded function , mathematics , dynamical system (definition) , dynamical systems theory , convergence (economics) , exponential function , convex optimization , mathematical optimization , discrete mathematics , mathematical analysis , geometry , physics , quantum mechanics , economics , economic growth

In this paper a dynamical system model is proposed for solving the split convex feasibility problem. Under mild conditions, it is shown that the proposed dynamical system globally converges to a solution of the split convex feasibility problem. An exponential convergence is obtained provided that the bounded linear regularity property is satisfied. The validity and transient behavior of the dynamical system is demonstrated by several numerical examples. The method proposed in this paper can be regarded as not only a continuous version but also an interior version of the known \begin{document}$ CQ $\end{document} -method for solving the split convex feasibility problem.

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