Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
Keyword(s):
We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space. Using the result we consider strong convergence theorems for variational inequalities and equilibrium problems in a real Hilbert space and strong convergence theorems for maximal monotone operators in a real uniformly smooth and uniformly convex Banach space.
1991 ◽
Vol 43
(1)
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pp. 153-159
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1989 ◽
Vol 40
(1)
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pp. 113-117
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Keyword(s):
2011 ◽
Vol 12
(3)
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pp. 259-265
1992 ◽
Vol 5
(3)
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pp. 47-50
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2016 ◽
Vol 4
(2)
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pp. 340