@article {
author = {Soori, Ebrahim},
title = {Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {13},
number = {1},
pages = {83-92},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.25887},
abstract = {Let $C$ be a nonempty closed convex subset of a real Banach space $E$, let $B: C \rightarrow E $ be a nonlinear map, and let $u, v$ be positive numbers. In this paper, we show that the generalized variational inequality $V I (C, B)$ is singleton for $(u, v)$-cocoercive mappings under appropriate assumptions on Banach spaces. The main results are extensions of the Saeidi's Propositions for finding a unique solution of the variational inequality for $(u, v)$-cocoercive mappings in Banach spaces.},
keywords = {Variational inequality,Nonexpansive mapping,$(u,v)$-cocoercive mapping,Metric projection,Sunny nonexpansive retraction},
url = {http://scma.maragheh.ac.ir/article_25887.html},
eprint = {http://scma.maragheh.ac.ir/article_25887_4d361d95ff4721a03622269726d897e2.pdf}
}