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http://dx.doi.org/10.4134/CKMS.2012.27.3.513

FIXED POINTS OF OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS USING IMPLICIT RELATION  

Pant, Badri Datt (Government Degree College)
Chauhan, Sunny (R. H. Government Postgraduate College)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 513-522 More about this Journal
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;
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Times Cited By KSCI : 1  (Citation Analysis)
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