Solving variational inclusions
by a multipoint iteration method
under center-Hölder continuity conditions
Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 493-503
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We prove the existence
of a sequence $(x_k)$ satisfying $0 \in f(x_k) +\sum _{i=1}^M a_i
\nabla f(x_k+\beta_i(x_{k+1}-x_k))(x_{k+1}-x_k)+F(x_{k+1})$, where
$f$ is a function whose second order Fréchet derivative $\nabla^2 f$ satifies a center-Hölder
condition and $F$ is a set-valued map from a Banach space $X$ to
the subsets of a Banach space $Y$. We show that the convergence
of this method is superquadratic.
Keywords:
prove existence sequence satisfying sum nabla beta x x where function whose second order chet derivative nabla satifies center h lder condition set valued map banach space subsets banach space convergence method superquadratic
Affiliations des auteurs :
Catherine Cabuzel 1 ; Alain Pietrus 1
@article{10_4064_am34_4_8,
author = {Catherine Cabuzel and Alain Pietrus},
title = {Solving variational inclusions
by a multipoint iteration method
under {center-H\"older} continuity conditions},
journal = {Applicationes Mathematicae},
pages = {493--503},
publisher = {mathdoc},
volume = {34},
number = {4},
year = {2007},
doi = {10.4064/am34-4-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am34-4-8/}
}
TY - JOUR AU - Catherine Cabuzel AU - Alain Pietrus TI - Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions JO - Applicationes Mathematicae PY - 2007 SP - 493 EP - 503 VL - 34 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/am34-4-8/ DO - 10.4064/am34-4-8 LA - en ID - 10_4064_am34_4_8 ER -
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Catherine Cabuzel; Alain Pietrus. Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions. Applicationes Mathematicae, Tome 34 (2007) no. 4, pp. 493-503. doi: 10.4064/am34-4-8
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