# Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions

Geoffroy, M.; Hilout, S.; Pietrus, A.

Serdica Mathematical Journal (2003)

- Volume: 29, Issue: 1, page 45-54
- ISSN: 1310-6600

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topGeoffroy, M., Hilout, S., and Pietrus, A.. "Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions." Serdica Mathematical Journal 29.1 (2003): 45-54. <http://eudml.org/doc/219616>.

@article{Geoffroy2003,

abstract = {2000 Mathematics Subject Classification: 47H04, 65K10.In this paper we investigate the existence of a sequence (xk )
satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized equation 0 ∈ f (x) + G(x); where f is a function and G is a set-valued map acting in Banach spaces.},

author = {Geoffroy, M., Hilout, S., Pietrus, A.},

journal = {Serdica Mathematical Journal},

keywords = {Multiapplication; Aubin Continuity; Cubic Convergence; multiapplication; Aubin continuity; cubic convergence},

language = {eng},

number = {1},

pages = {45-54},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions},

url = {http://eudml.org/doc/219616},

volume = {29},

year = {2003},

}

TY - JOUR

AU - Geoffroy, M.

AU - Hilout, S.

AU - Pietrus, A.

TI - Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions

JO - Serdica Mathematical Journal

PY - 2003

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 29

IS - 1

SP - 45

EP - 54

AB - 2000 Mathematics Subject Classification: 47H04, 65K10.In this paper we investigate the existence of a sequence (xk )
satisfying 0 ∈ f (xk )+ ∇f (xk )(xk+1 − xk )+ 1/2 ∇2 f (xk )(xk+1 − xk )^2 + G(xk+1 ) and converging to a solution x∗ of the generalized equation 0 ∈ f (x) + G(x); where f is a function and G is a set-valued map acting in Banach spaces.

LA - eng

KW - Multiapplication; Aubin Continuity; Cubic Convergence; multiapplication; Aubin continuity; cubic convergence

UR - http://eudml.org/doc/219616

ER -

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