%0 Journal Article
%T Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Soori, Ebrahim
%D 2019
%\ 02/01/2019
%V 13
%N 1
%P 83-92
%! Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces
%K Variational inequality
%K Nonexpansive mapping
%K $(u
%K v)$-cocoercive mapping
%K Metric projection
%K Sunny nonexpansive retraction
%R 10.22130/scma.2017.25887
%X 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.
%U http://scma.maragheh.ac.ir/article_25887_4d361d95ff4721a03622269726d897e2.pdf