Bregman Distance and Strong Convergence of Proximal-Type Algorithms
Keyword(s):
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 functionalΦ(∥·∥). 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.
2012 ◽
Vol 2012
(1)
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2011 ◽
Vol 2011
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pp. 1-31
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2001 ◽
Vol 11
(2)
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pp. 231-238
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2011 ◽
Vol 2011
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pp. 1-16
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1997 ◽
Vol 2
(1-2)
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pp. 97-120
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2008 ◽
Vol 2008
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pp. 1-16
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