Viscosity approximation fixed points for nonexpansive and m-accretive operators
Let X be a real reflexive Banach space, let C be a closed convex subset of X, and let A be an m-accretive operator with a zero. Consider the iterative method that generates the sequence {xn} by the algorithm xn+1=αnf(xn)+(1−αn)Jrnxn, where αn and γn are two sequences satisfying c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-10-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/FPTA/2006/81325 |
| Summary: | Let X be a real reflexive Banach space, let C be a closed convex subset of X, and let A be an m-accretive operator with a zero. Consider the iterative method that generates the sequence {xn} by the algorithm xn+1=αnf(xn)+(1−αn)Jrnxn, where αn and γn are two sequences satisfying certain conditions, Jr denotes the resolvent (I+rA)−1 for r>0, and let f:C→C be a fixed contractive mapping. The strong convergence of the algorithm {xn} is proved assuming that X has a weakly continuous duality map. |
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| ISSN: | 1687-1820 1687-1812 |