Some common fixed-point theorems for generalized-contractive-type mappings on complex-valued metric spaces. (English) Zbl 1272.54038

Summary: Fixed-point theory in complex valued metric spaces has greatly developed in recent times. In this paper, we prove certain common fixed-point theorems for two single-valued mappings in such spaces. The mappings we consider here are assumed to satisfy certain metric inequalities with generalized fixed-point theorems due to F. Rouzkard and M. Imdad [Comput. Math. Appl. 64, No. 6, 1866–1874 (2012; Zbl 1268.54033)]. This extends and subsumes many results of other authors which were obtained for mappings on complex-valued metric spaces.


54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces


Zbl 1268.54033
Full Text: DOI


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