In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.
Rouzkard, F., Imdad, M. (2017). Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces. International Journal of Nonlinear Analysis and Applications, 8(2), 145-158. doi: 10.22075/ijnaa.2017.521
MLA
Fayyaz Rouzkard; Mohammad Imdad. "Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces". International Journal of Nonlinear Analysis and Applications, 8, 2, 2017, 145-158. doi: 10.22075/ijnaa.2017.521
HARVARD
Rouzkard, F., Imdad, M. (2017). 'Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces', International Journal of Nonlinear Analysis and Applications, 8(2), pp. 145-158. doi: 10.22075/ijnaa.2017.521
VANCOUVER
Rouzkard, F., Imdad, M. Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces. International Journal of Nonlinear Analysis and Applications, 2017; 8(2): 145-158. doi: 10.22075/ijnaa.2017.521