scholarly journals Weakly commuting mappings and its variants for generalized ψ-weak contraction

2021 ◽  
Keyword(s):  
Weak Contraction ◽  
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 Variants of R-weakly commuting mappings satisfying a weak contraction

2021 ◽  
Vol 22 (1) ◽  
pp. 259
Author(s):  
Deepak Jain ◽  
Sanjay Kumar ◽  
Choonkil Park
Keyword(s):  
Weak Contraction ◽  
Weakly Commuting Mappings ◽  
Commuting Mappings

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 On common fixed points of weakly commuting mappings and set-valued mappings

1986 ◽  
Vol 9 (2) ◽  
pp. 323-329 ◽  
Author(s):  
S. Sessa ◽  
B. Fisher
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Weakly Commuting Mappings ◽  
The Common ◽  
Set Valued Mappings ◽  
Commuting Mappings ◽  
Weak Commutativity

Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author.

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