Soori, E. (2019). Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces. Sahand Communications in Mathematical Analysis, 13(1), 83-92. doi: 10.22130/scma.2017.25887

Ebrahim Soori. "Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces". Sahand Communications in Mathematical Analysis, 13, 1, 2019, 83-92. doi: 10.22130/scma.2017.25887

Soori, E. (2019). 'Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces', Sahand Communications in Mathematical Analysis, 13(1), pp. 83-92. doi: 10.22130/scma.2017.25887

Soori, E. Extensions of Saeidi's Propositions for Finding a Unique Solution of a Variational Inequality for $(u,v)$-cocoercive Mappings in Banach Spaces. Sahand Communications in Mathematical Analysis, 2019; 13(1): 83-92. doi: 10.22130/scma.2017.25887

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 \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.

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