New algorithms for solving pseudo-monotone variational inequalities in Banach spaces-Reference-Cited by-同舟云学术

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

Published:2024-08-27 Issue:4 Volume:53 Page:981-1000
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
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Author:

Zamani Eskandanı G. Reza¹^ORCID,Raeisi M.¹^ORCID,Lotfikar R.¹^ORCID

Affiliation:

1. University of Tabriz

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.

Publisher

Hacettepe University

Reference54 articles.

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