Strong Convergence Theorems for Families of Weak Relatively Nonexpansive Mappings
We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of ge...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/251612 |
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| Summary: | We construct a new Halpern type iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of weak relatively nonexpansive mappings in a uniformly convex and uniformly smooth real Banach space using the properties of
generalized f-projection operator. Using this result, we discuss strong convergence theorem concerning general H-monotone mappings. Our results extend many known recent results in the literature. |
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| ISSN: | 1085-3375 1687-0409 |