Skip to content

Chinedu Godwin Ezea, A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings

Full Text: PDF
DOI: 10.23952/asvao.3.2021.1.05
Volume 3, Issue 1, 30 April 2021, Pages 39-53

 

Abstract. In this paper, a shrinking projection algorithm is investigated for variational inequality problems with Lipschitz monotone mappings and fixed point problems of relatively weak nonexpansive mappings. Strong convergence of the algorithm is established in a 2-uniformly convex and uniformly smooth real Banach space. As an application, zero problems of a Lipschitz monotone mapping is presented.

 

How to Cite this Article:
Chinedu Godwin Ezea, A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings, Appl. Set-Valued Anal. Optim. 3 (2021), 39-53.