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

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 A characterisation of completeness of b-fuzzy metric spaces and nonlinear contractions

2020 ◽  
pp. 57-57
Author(s):  
Branislav Randjelovic ◽  
Natasa Cirovic ◽  
Sinisa Jesic
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weakly Commuting Mappings ◽  
Nonlinear Contractions ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

The purpose of this paper is to present a common fixed point theorem for a pair of R-weakly commuting mappings defined on b-fuzzy metric spaces satisfying nonlinear contractive conditions of Boyd-Wong type, obtained in D. W. Boyd, J. S. W. Wong: On nonlinear contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.

scholarly journals Common Fixed Point of TwoR-Weakly Commuting Mappings inb-Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-5 ◽  
Author(s):  
Poom Kumam ◽  
Wutiphol Sintunavarat ◽  
Shaban Sedghi ◽  
Nabi Shobkolaei
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Weakly Commuting Mappings ◽  
Commuting Mappings

We prove some common fixed point results for two mappings satisfying generalized contractive condition inb-metric space. Note thatb-metric of main results in this work are not necessarily continuous. So our results extend and improve several previous works. We also present one example that shows the applicability and usefulness of our results.

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