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Common fixed point theorems for mappings satisfying common property (E.A.)in symmetric spaces

Gopal Dhananjay (Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat, India)
Imdad Mohammad (Department of Mathematics, Aligarh Muslim University, Aligarh, India)
Vetro Calogero (Department of Mathematics and Informatics, University of Palermo, Palermo, Italy)

In this paper, common fixed point theorems for mappings satisfying a generalized contractive condition are obtained in symmetric spaces by using the notion of common property (E.A.). In the process, a host of previously known results are improved and generalized. We also derive results on common fixed point in probabilistic symmetric spaces.

Keywords: Symmetric space, common property (E.A.), common fixed point