Fixed points of occasionally weakly compatible mappings using implicit relation
Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 513-522
https://doi.org/10.4134/CKMS.2012.27.3.513
Printed September 1, 2012
Badri Datt Pant and Sunny Chauhan
Government Degree College, R. H. Government Postgraduate College
Abstract : In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts. Also the completeness of the whole space, continuity of the involved maps and containment of ranges amongst involved maps are completely relaxed.
Keywords : triangle norm (t-norm), Menger space, occasionally weakly compatible maps, implicit relation, fixed point
MSC numbers : Primary 47H10; Secondary 54H25
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