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Keywords = relaxed Mann implicit iteration

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16 pages, 291 KB  
Article
Strong Convergence Theorems for Variational Inequalities and Common Fixed-Point Problems Using Relaxed Mann Implicit Iteration Methods
by Lu-Chuan Ceng and Meijuan Shang
Mathematics 2019, 7(5), 424; https://doi.org/10.3390/math7050424 - 11 May 2019
Cited by 3 | Viewed by 2821
Abstract
Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically nonexpansive mapping in the intermediate sense and a [...] Read more.
Mann-like iteration methods are significant to deal with convex feasibility problems in Banach spaces. We focus on a relaxed Mann implicit iteration method to solve a general system of accretive variational inequalities with an asymptotically nonexpansive mapping in the intermediate sense and a countable family of uniformly Lipschitzian pseudocontractive mappings. More convergence theorems are proved under some suitable weak condition in both 2-uniformly smooth and uniformly convex Banach spaces. Full article
(This article belongs to the Special Issue Variational Inequality)
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