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http://dx.doi.org/10.5831/HMJ.2013.35.4.551

FIXED POINT THEOREMS IN MENGER SPACES USING AN IMPLICIT RELATION  

Chauhan, Sunny (R. H. Government Postgraduate College)
Khan, M. Alamgir (Department of Natural Resources Engineering and Management, University of Kurdistan)
Pant, B.D. (Government Degree College)
Publication Information
Honam Mathematical Journal / v.35, no.4, 2013 , pp. 551-564 More about this Journal
Abstract
In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sinica, 24(5) (2008), 867-876] introduced the notion of occasionally weakly compatible mappings in metric spaces. In this paper, we prove some common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using an implicit relation. We also give an illustrative example to support our main result.
Keywords
t-norm; Menger space; occasionally weakly compatible mappings; implicit relation; fixed point;
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Times Cited By KSCI : 1  (Citation Analysis)
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