Common Fixed Point Theorems for a Pair of Mappings in Complex-valued Metric Spaces


Authors

R. K. Verma - Department of mathematics, Govt. C.L.C. College Patan Distt.-Durg (C.G.) 491111, INDIA. H. K. Pathak - School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010, INDIA.


Abstract

The purpose of this paper is to prove common fixed point theorems for a pair of mappings satisfying a quasi-contraction condition in a complex-valued metric space \((X, d)\). For this, we have defined the ‘max’ function for the partial order \(\leq\) in complex-valued metric \(d\).


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