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Approximations to fixed points of contraction semigroups in hilbert spaces
Authors:Hong-Kun Xu
Institution:Department of Mathematics , University of Durban , Private Bag X54001, Westville, Durban, 4000, South Africa
Abstract:Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The obtained results extend the previously known results from a single mapping to a family of mappings.
Keywords:Fixed point  contraction semigroup  strong convergence  Hilbert space  1991 Mathematics Subject Classification  Primary 47H09  1991 Mathematics Subject Classification Primary 47H20  1991 mathematics subject classification primary Secondary 47H10
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