scholarly journals EMPLOYING COMMON LIMIT RANGE PROPERTY WITH VARIANTS OF R-WEAKLY COMMUTING MAPPINGS IN METRIC SPACES

2015 ◽  
Vol 22 (2) ◽  
pp. 127-138
Author(s):  
SUNNY CHAUHAN ◽  
JELENA VUJAKOVIC ◽  
SHAMSUL HAQ
Keyword(s):  
Metric Spaces ◽  
Common Limit ◽  
Weakly Commuting Mappings ◽  
Common Limit Range Property ◽  
Commuting Mappings

scholarly journals Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Sunny Chauhan ◽  
M. Alamgir Khan ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

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).

scholarly journals Common Fixed Point Theorems of Greguš Type (ϕ,ψ)-Weak Contraction for R-Weakly Commuting Mappings in 2-Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Penumarthy Parvateesam Murthy ◽  
Uma Devi Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Weakly Commuting Mappings ◽  
Set Valued Mappings ◽  
Commuting Maps ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

The main purpose of this paper is to establish a common fixed point theorem for set valued mappings in 2-metric spaces by generalizing a theorem of Abd EL-Monsef et al. (2009) and Murthy and Tas (2009) by using (ϕ,ψ)-weak contraction in view of Greguš type condition for set valued mappings using R-weakly commuting maps.

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
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
The Common ◽  
Coupled Maps ◽  
Common Limit Range Property

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.

Common Fixed Point of Two R-Weakly Commuting Mappings in Sb-Metric Spaces

2017 ◽  
Vol 6 (3) ◽  
pp. 249-253 ◽  
Author(s):  
Shaban Sedghi ◽  
Abdolsattar Gholidahneh ◽  
K. P. R. Rao
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Weakly Commuting Mappings ◽  
Commuting Mappings
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