A coupled coincidence point theorem in partially ordered metric spaces
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 103
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We prove a coupled coincidence point theorem in partially ordered metric spaces for mappings $F: X \times X \rightarrow X$ having the $g$-mixed monotone property. The main result of this paper extends and improves the corresponding results in [6][10][8][4]. Some examples are given to illustrate our work.
Classification :
54H25 47H10
Keywords: Coupled coincidence point, mixed monotone, O-compatible mappings, partially ordered set.
Keywords: Coupled coincidence point, mixed monotone, O-compatible mappings, partially ordered set.
@article{KJM_2013_37_1_a6,
author = {Nguyen V. Can and Vasile Berinde and Nguyen V. Luong and Nguyen X. Thuan},
title = {A coupled coincidence point theorem in partially ordered metric spaces},
journal = {Kragujevac Journal of Mathematics},
pages = {103 },
year = {2013},
volume = {37},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a6/}
}
TY - JOUR AU - Nguyen V. Can AU - Vasile Berinde AU - Nguyen V. Luong AU - Nguyen X. Thuan TI - A coupled coincidence point theorem in partially ordered metric spaces JO - Kragujevac Journal of Mathematics PY - 2013 SP - 103 VL - 37 IS - 1 UR - http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a6/ LA - en ID - KJM_2013_37_1_a6 ER -
%0 Journal Article %A Nguyen V. Can %A Vasile Berinde %A Nguyen V. Luong %A Nguyen X. Thuan %T A coupled coincidence point theorem in partially ordered metric spaces %J Kragujevac Journal of Mathematics %D 2013 %P 103 %V 37 %N 1 %U http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a6/ %G en %F KJM_2013_37_1_a6
Nguyen V. Can; Vasile Berinde; Nguyen V. Luong; Nguyen X. Thuan. A coupled coincidence point theorem in partially ordered metric spaces. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 1, p. 103 . http://geodesic.mathdoc.fr/item/KJM_2013_37_1_a6/