In:
Creative Mathematics and Informatics, Technical University of Cluj Napoca, North University Center of Baia Mare, Vol. 25, No. 1 ( 2016), p. 107-120
Abstract:
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 → E∗, K : E∗ → 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 + KF u = 0. Futhermore, our technique of proof is of independent of interest.
Type of Medium:
Online Resource
ISSN:
1584-286X
,
1843-441X
DOI:
10.37193/CMI.2016.01
DOI:
10.37193/CMI.2016.01.14
Language:
Unknown
Publisher:
Technical University of Cluj Napoca, North University Center of Baia Mare
Publication Date:
2016
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