Some common fixed point theorems on complex valued metric spaces

Generalized Common Fixed Point Results with Applications

“…Sintunavarat and Kumam [17] obtained common fixed point results by replacing constant of contractive condition to control functions. Recently, Klin-eam and Suanoom [12] extend the concept of complex valued metric spaces and generalized the results of Azam et al [15] and Rouzkard and Imdad [16]. In this paper we continue the study of complex valued metric spaces and established some fixed point results for mappings satisfying a rational inequality.…”

“…Azam et al [15] improved the Banach contraction principle by generalizing it in complex valued metric space involving rational inequity which could not be handled in cone metric spaces [3,5,11,15] due to limitations regarding product and quotient. Rouzkard and Imdad [16] extended the work of Azam et al [15]. Sintunavarat and Kumam [17] obtained common fixed point results by replacing constant of contractive condition to control functions.…”

Some Fixed Point Theorems for pair mapping in Complex Valued b-Metric Space

“…In the same way, various authers have studied and prove the fixed point result for mapping satisfying different type contractive conditions in the framework of complex valued metric space (see [15] , [8] , [5] , [18], [17] ). In 2013 Rao et al [13] introduce the concept of complex valued b-metric space which was more general then the well known complex valued metric space.…”

Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible

“…Thereafter, Rouzkard and Imdad [18] established some common fixed point theorems satisfying certain rational expressions in complex valued metric spaces to generalize the results proved in [3] with the note that complex valued metric spaces form a special class of cone metric space, yet this idea is intended to define rational expressions which are not meaningful in cone metric spaces and thus many such results of analysis involving quotients cannot be generalized to cone metric spaces as the definition of a metric spaces banks on the underlying Banach space which is not a division Ring. However in complex valued metric spaces, one can study improvements of a host results of analysis involving divisions.…”