A Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problems (Q642722)
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scientific article; zbMATH DE number 5964405
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problems |
scientific article; zbMATH DE number 5964405 |
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A Halpern-Mann type iteration for fixed point problems of a relatively nonexpansive mapping and a system of equilibrium problems (English)
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27 October 2011
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Summary: A new modified Halpern-Mann type iterative method is constructed. Strong convergence of the scheme to a common element of the set of fixed points of a relatively nonexpansive mapping and the set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. The results presented in this work improve the corresponding ones announced by many others.
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uniformly smooth Banach space
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Halpern-Mann type
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iterative method
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fixed point
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relatively nonexpansive mapping
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equilibrium problem
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uniformly convex real Banach space
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