New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz mappings
https://link.springer.com/article/10.1007%2Fs11075-020-00977-8Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
We propose and study new projection-type algorithms for solving pseudomonotone variational inequality problems in real Hilbert spaces without assuming Lipschitz continuity of the cost operators. We prove weak and strong convergence theorems for the sequences generated by these new methods. The numerical behavior of the proposed algorithms when applied to several test problems is compared with that of several previously known algorithms.
Tags: Projection-type method, Pseudomonotone operator, Strong convergence, Variational inequality ,Viscosity method ,Weak convergence
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