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New Bregman projection methods for solving pseudo-monotone variational inequality problem
- Source :
- Journal of Applied Mathematics and Computing. 68:1565-1589
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- In this work, we introduce two Bregman projection algorithms with self-adaptive stepsize for solving pseudo-monotone variational inequality problem in a Hilbert space. The weak and strong convergence theorems are established without the prior knowledge of Lipschitz constant of the cost operator. The convergence behavior of the proposed algorithms with various functions of the Bregman distance are presented. More so, the performance and efficiency of our methods are compared to other related methods in the literature.
Details
- ISSN :
- 18652085 and 15985865
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Mathematics and Computing
- Accession number :
- edsair.doi...........68e45b33d2f8ed0f539974633890357b