scholarly journals Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation

2005 ◽  
Vol 2005 (16) ◽  
pp. 2617-2629 ◽  
Author(s):  
Bijendra Singh ◽  
Shishir Jain

The concept of semicompatibility has been introduced in fuzzy metric space and it has been applied to prove results on existence of unique common fixed point of four self-maps satisfying an implicit relation. Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem ford-complete topological spaces. All the results of this paper are new.

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
V. H. Badshah ◽  
Varsha Joshi

The aim of this paper is to prove a common fixed point theorem for six mappings on fuzzy metric space using notion of semicompatibility and reciprocal continuity of maps satisfying an implicit relation. We proposed to reanalysis the theorems of Imdad et al. (2002), Popa (2001), Popa (2002) and Singh and Jain (2005).


2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Ismat Beg ◽  
Shaban Sedghi ◽  
Nabi Shobe

We prove a fixed point theorem for mappings satisfying an implicit relation in a complete fuzzy metric space.


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