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

Abstract

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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.

How to cite

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Geoffroy, 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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