×

zbMATH — the first resource for mathematics

Compatible mappings of type \((A)\) and common fixed points. (English) Zbl 0791.54059
The authors introduce the concept of compatible mappings of type (A) which are equivalent to the concept of compatible mapping under some conditions and prove a common fixed point theorem for compatible mappings of type (A) on a complete metric space. The main theorem presented in this paper extends the results of H. K. Pathak [Indian J. Pure Appl. Math. 17, 201-211 (1986; Zbl 0581.54033)] and D. Prasad [ibid. 16, 1073-1077 (1985; Zbl 0575.54036)].

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
PDF BibTeX XML Cite