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Compatible mappings of type (C) and common fixed point theorems of Gregus type

Pathak H., Cho Y., Kang S., Madharia B.

Demonstratio Mathematica

1998

Vol. 31, nr 3

499-518

In this paper, we introduce the concept of compatible mappings of type (C) in normed spaces and compare these mappings with compatible mappings of type (A) and compatible mappings of type (B). In the sequel, we establish a common fixed point theorem for two pairs of compatible mappings of type (C) for Gregus type contraction condition. Our main result improves, extends and modifies several known results.