A relaxed splitting method for solving variational inclusion and fixed point problems
Computational and Applied Mathematics(2024)
摘要
In this work, we propose an iterative method for finding a common solution of a variational inclusion problem involving a maximally monotone operator and a fixed point problem for a pseudocontractive mapping in real Hilbert space. Under some standard and easy-to-verify conditions, we establish that the sequence generated by the proposed method converges strongly to a solution of the considered problem. Numerical illustrations and application in image recovery suggest that the proposed method is easy to implement and efficient.
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关键词
Variational inclusion problem,Extrapolation step,Fixed point,Monotone operator,Maximal monotone operator,Pseudocontractive mapping,Image recovery
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