TY - JOUR
T1 - Coupled fixed point results in cone metric spaces for w-compatible mappings
AU - Vetro, Calogero
AU - Aydi, Hassen
AU - Samet, Bessem
PY - 2011
Y1 - 2011
N2 - In this paper, we introduce the concepts of w-compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F,G : X x X -> X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered.
AB - In this paper, we introduce the concepts of w-compatible mappings, b-coupled coincidence point and b-common coupled fixed point for mappings F,G : X x X -> X, where (X, d) is a cone metric space. We establish b-coupled coincidence and b-common coupled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in the literature, in particular the recent results of Abbas et al. [Appl. Math. Comput. 217, 195-202 (2010)]. Some examples are given to illustrate our obtained results. An application to the study of existence of solutions for a system of non-linear integral equations is also considered.
KW - b-common coupled fixed point
KW - b-coupled coincidence point
KW - cone metric space
KW - integral equation.
KW - w-compatible mappings
KW - b-common coupled fixed point
KW - b-coupled coincidence point
KW - cone metric space
KW - integral equation.
KW - w-compatible mappings
UR - http://hdl.handle.net/10447/60440
UR - http://www.fixedpointtheoryandapplications.com/content/2011/1/27
M3 - Article
VL - 2011
SP - 1
EP - 15
JO - Fixed Point Theory and Applications
JF - Fixed Point Theory and Applications
SN - 1687-1820
ER -