scholarly journals Coupled Fixed Point Theorems Employing CLR-Property on V -Fuzzy Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 404
Author(s):  
Vishal Gupta ◽  
Wasfi Shatanawi ◽  
Ashima Kanwar

The introduction of the common limit range property on V -fuzzy metric spaces is the foremost aim of this paper. Furthermore, significant results for coupled maps are proven by employing this property on V -fuzzy metric spaces. More precisely, we introduce the notion of C L R Ω -property for the mappings Θ : M × M → M and Ω : M → M . We utilize our new notion to present and prove our new fixed point results.






2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Mohammad Imdad ◽  
Sunny Chauhan ◽  
Sumitra Dalal

The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main result, we derive a fixed point theorem for finite families of self-mappings. We also give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results. Our results improve and extend several previously known fixed point theorems of the existing literature.





2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Sunny Chauhan ◽  
M. Alamgir Khan ◽  
Wutiphol Sintunavarat

The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend a host of previously known results including the ones contained in Imdad et al. (2012).



2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Manish Jain ◽  
Kenan Tas ◽  
Sanjay Kumar ◽  
Neetu Gupta

The aim of this paper is to extend the notions of E.A. property andCLRgproperty for coupled mappings and use these notions to generalize the recent results of Xin-Qi Hu (2011). The main result is supported by a suitable example.



2015 ◽  
Vol 47 (2) ◽  
pp. 1-18 ◽  
Author(s):  
Mohammad Imdad ◽  
K.P.R. Rao ◽  
K.V. Siva Parvathi


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