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In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive mappings and the solution set of the… Click to show full abstract
In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive mappings and the solution set of the single-valued variational inequality problem. Under the assumption that the mapping is monotone and Lipschitz continuous, we show that the sequence generated by our algorithm converges strongly to some common element of the fixed set and the solution set. Moreover, preliminary numerical experiments are also reported.
Keywords:
subgradient type;
single valued;
valued variational;
inertial subgradient;
fixed point
Journal Title: Numerical Algorithms
Year Published: 2017
Link to full text (if available)
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Journal Title: Numerical Algorithms
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!