Bregman Distance and Strong Convergence of Proximal-Type Algorithms
The purpose of this paper is to discuss some fundamental properties of Bregman distance, generalized projection operators, firmly nonexpansive mappings, and resolvent operators of set-valued monotone operators corresponding to a functional Φ(∥·∥). We further study some proximal point algorithms for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/590519 |
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| Summary: | The purpose of this paper is to discuss some fundamental properties of Bregman distance,
generalized projection operators, firmly nonexpansive mappings, and resolvent operators of
set-valued monotone operators corresponding to a functional Φ(∥·∥). We further study some proximal point algorithms for finding zeros of monotone operators and solving generalized mixed
equilibrium problems in Banach spaces. Our results improve and extend some recent results concerning
generalized projection operators corresponding to Bregman distance. |
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| ISSN: | 1085-3375 1687-0409 |