Strong Convergence on the Split Feasibility Problem by Mixing  W -Mapping | Zendy

Fugen Gao | Zendy; Xiaoxiao Liu | Zendy; Xiaochun Li | Zendy

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Strong Convergence on the Split Feasibility Problem by Mixing

W

-Mapping

Author(s) -

Fugen Gao,

Xiaoxiao Liu,

Xiaochun Li

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/9924937

Subject(s) - mathematics , mixing (physics) , hilbert space , convergence (economics) , regular polygon , space (punctuation) , viscosity , discrete mathematics , algorithm , pure mathematics , geometry , computer science , physics , quantum mechanics , economics , economic growth , operating system

In this paper, we concern with the split feasibility problem (SFP) in real Hilbert space whenever the sets involved are nonempty, closed, and convex. By mixing W -mapping with the viscosity, we introduce a new iterative algorithm for solving the split feasibility problem, and we prove that our proposed algorithm is convergent strongly to a solution of the split feasibility problem.

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