Extensions of Saeidi’s Propositions for Finding a Unique Solution of a Variational Inequality for (u,v)-cocoercive Mappings in Banach Spaces

Let C be a nonempty closed convex subset of a real Banach space E, let B : C → 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 nding a unique solution of the variational inequality for (u, v)-cocoercive mappings in Banach spaces.