New algorithms for solving pseudo-monotone variational inequalities in Banach spaces

Authors : G. Reza Zamani Eskandanı, M. Raeisi, R. Lotfikar

Pages : 981-1000

Doi:10.15672/hujms.1228124

View : 93 | Download : 188

Publication Date : 2024-08-27

Article Type : Research Paper

Abstract :In this paper, we introduce new algorithms for finding a solution of a variational inequality problem involving pseudo-monotone operator which is also a fixed point of a Bregman relatively inexpensive mapping in $p$-uniformly convex and uniformly smooth Banach spaces that are more general than Hilbert spaces. We prove weak and strong convergence theorems for proposed algorithms. Finally, we give some numerical experiments for supporting our main results.
Keywords : Variational inequality, Pseudo monotone operator, Bregman distance, Bregman projection