New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space

New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space

Abstract In a real uniformly convex and uniformly smooth Banach space, some new monotone projection iterative algorithms for countable maximal monotone mappings and countable weakly relatively non-expansive mappings are presented. Under mild assumptions, some strong convergence theorems are obtained...

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Bibliographic Details
Main Authors: Li Wei, Ravi P. Agarwal
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Journal of Inequalities and Applications
Subjects:
Maximal monotone mapping
Weakly relatively non-expansive mapping
Projection
Limit of a sequence of sets
Uniformly convex and uniformly smooth Banach space
Online Access:http://link.springer.com/article/10.1186/s13660-018-1657-3

Internet

http://link.springer.com/article/10.1186/s13660-018-1657-3

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