Iterative Schemes for Finite Families of Maximal Monotone Operators Based on Resolvents
The purpose of this paper is to present two iterative schemes based on the relative resolvent and the generalized resolvent, respectively. And, it is shown that the iterative schemes converge weakly to common solutions for two finite families of maximal monotone operators in a real smooth and unifor...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/451279 |
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| Summary: | The purpose of this paper is to present two iterative schemes based
on the relative resolvent and the generalized resolvent, respectively. And, it is
shown that the iterative schemes converge weakly to common solutions for two
finite families of maximal monotone operators in a real smooth and uniformly convex
Banach space and one example is demonstrated to explain that some assumptions
in the main results are meaningful, which extend the corresponding works by some
authors. |
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| ISSN: | 1085-3375 1687-0409 |