creative_2016_25_1_107_120_001

Algorithm for Hammerstein equations with monotone mappings in certain Banach spaces


Sow, T. M. M., Diop, C. and Djitte, N.


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creative_2016_25_1_107_120

For q>1 and p>1, let E be a 2-uniformly convex and q-uniformly smooth or p– uniformly convex and
2-uniformly smooth real Banach space and F :E\to E^*, K:  E^*\to E be bounded and strongly monotone maps with D(K)=R(F)=E^*. We construct a coupled iterative process and prove its  strong convergence to a solution of the Hammerstein equation u+KFu=0.  Futhermore, our technique of proof is of independent of interest.

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Diop, C., Djitte, N., Sow, T. M. M.