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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ISRP Style

R. K. Verma, H. K. Pathak, Common Fixed Point Theorems for a Pair of Mappings in Complex-valued Metric Spaces, Journal of Mathematics and Computer Science, 6 (2013), no. 1, 18--26

AMA Style

Verma R. K., Pathak H. K., Common Fixed Point Theorems for a Pair of Mappings in Complex-valued Metric Spaces. J Math Comput SCI-JM. (2013); 6(1):18--26

Chicago/Turabian Style

Verma, R. K., Pathak, H. K.. "Common Fixed Point Theorems for a Pair of Mappings in Complex-valued Metric Spaces." Journal of Mathematics and Computer Science, 6, no. 1 (2013): 18--26


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