Abstract
In this paper, we introduce and study an over-relaxed scheme based on \(H(\cdot ,\cdot )\)-cocoercive operators for solving a generalized variational inclusion problem in Hilbert spaces. By using the resolvent operator technique associated with \(H(\cdot ,\cdot )\)-cocoercive operators, an existence and convergence result is proved. Our over-relaxed scheme seems to be more general and applicable for solving many related problems occurring in applied sciences. An example is provided in support of our main result.
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Rahaman, M., Ahmad, R. & Rizvi, H.A. The over-relaxed scheme based on \(H(\cdot ,\cdot )\)-cocoercive operators for solving a generalized variational inclusion problem. Afr. Mat. 28, 263–270 (2017). https://doi.org/10.1007/s13370-016-0445-9
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DOI: https://doi.org/10.1007/s13370-016-0445-9