Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 399
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The aim of this paper is to consider an Ishikawa type iteration process with errors to approximate the fixed point of two uniformly quasi-Lipschitzian mappings in cone metric spaces. We also extend some fixed point results of these mappings from complete generalized convex metric spaces to cone metric spaces. Our results extend and generalize many known results.
Classification :
47H10 54H25
Keywords: Ishikawa type iteration, uniformly quasi-Limpshitzian mappings, cone metric space, normal and nonormal cone, fixed point
Keywords: Ishikawa type iteration, uniformly quasi-Limpshitzian mappings, cone metric space, normal and nonormal cone, fixed point
@article{KJM_2011_35_3_a4,
author = {Du\v{s}an {\DJ}uki\'c and Ljiljana Paunovi\'c and Stojan Radenovi\'c},
title = {Convergence of iterates with errors of uniformly {quasi-Lipschitzian} mappings in cone metric spaces},
journal = {Kragujevac Journal of Mathematics},
pages = {399 },
year = {2011},
volume = {35},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a4/}
}
TY - JOUR AU - Dušan Đukić AU - Ljiljana Paunović AU - Stojan Radenović TI - Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces JO - Kragujevac Journal of Mathematics PY - 2011 SP - 399 VL - 35 IS - 3 UR - http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a4/ LA - en ID - KJM_2011_35_3_a4 ER -
%0 Journal Article %A Dušan Đukić %A Ljiljana Paunović %A Stojan Radenović %T Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces %J Kragujevac Journal of Mathematics %D 2011 %P 399 %V 35 %N 3 %U http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a4/ %G en %F KJM_2011_35_3_a4
Dušan Đukić; Ljiljana Paunović; Stojan Radenović. Convergence of iterates with errors of uniformly quasi-Lipschitzian mappings in cone metric spaces. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 399 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a4/