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Fixed Point Theory and Applications | Vol.2007, Issue.1 | 2017-05-30 | Pages
An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
In real Hilbert space , from an arbitrary initial point , an explicit iteration scheme is defined as follows: , where , is a nonexpansive mapping such that is nonempty, is a -strongly monotone and -Lipschitzian mapping, , and . Under some suitable conditions, the sequence is shown to converge strongly to a fixed point of and the necessary and sufficient conditions that converges strongly to a fixed point of are obtained.
Original Text (This is the original text for your reference.)
An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
In real Hilbert space , from an arbitrary initial point , an explicit iteration scheme is defined as follows: , where , is a nonexpansive mapping such that is nonempty, is a -strongly monotone and -Lipschitzian mapping, , and . Under some suitable conditions, the sequence is shown to converge strongly to a fixed point of and the necessary and sufficient conditions that converges strongly to a fixed point of are obtained.
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lipschitzian mapping explicit iteration scheme nonexpansive mapping strongly monotone nonempty real hilbert space
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Wang Lin,.An Iteration Method for Nonexpansive Mappings in Hilbert Spaces. 2007 (1),.
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