Geodesic
Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions
Serdica Mathematical Journal, Tome 29 (2003) no. 1, pp. 45-54.

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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.
Keywords: Multiapplication, Aubin Continuity, Cubic Convergence 
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     title = {Acceleration of {Convergence} in {Dontchev{\textquoteright}s} {Iterative} {Method} for {Solving} {Variational} {Inclusions}},
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Geoffroy, M.; Hilout, S.; Pietrus, A. Acceleration of Convergence in Dontchev’s Iterative Method for Solving Variational Inclusions. Serdica Mathematical Journal, Tome 29 (2003) no. 1, pp. 45-54. http://geodesic.mathdoc.fr/item/SMJ2_2003_29_1_a3/