Fixed-Point Theorems for R-Weakly Commuting Mappings on Parametric S-Metric Spaces

2018 ◽  
Vol 6 (7) ◽  
pp. 717-720
Author(s):  
R. Rani
2011 ◽  
Vol 42 (4) ◽  
pp. 405-414
Author(s):  
Sushil Sharma ◽  
Prashant Tilwankar

The aim of this paper is to prove some common fixed point theorems by using the property ($S$-$B$) and the notion of R-weak commutativity of type $(S_p)$ in intuitionistic fuzzy metric spaces. We first formulate the definition of R-weakly commuting mappings of type $(S_p)$ in intuitionistic fuzzy metric spaces and prove the intuitionistic fuzzy version of Pant's theorem.


2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Penumarthy Parvateesam Murthy ◽  
Uma Devi Patel

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.


2017 ◽  
Vol 6 (3) ◽  
pp. 249-253 ◽  
Author(s):  
Shaban Sedghi ◽  
Abdolsattar Gholidahneh ◽  
K. P. R. Rao

2010 ◽  
Vol 7 (2) ◽  
pp. 529-532
Author(s):  
Durdana Lateef ◽  
A. Bhattacharya

In this paper common fixed point of pair of coincidentally commuting mappings in D-metric spaces have been proved.


2003 ◽  
Vol 2003 (40) ◽  
pp. 2519-2539
Author(s):  
B. C. Dhage ◽  
A. Jennifer Asha ◽  
S. M. Kang

The present paper studies some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings inD-metric spaces satisfying a certain generalized contraction condition. Our result generalizes more than a dozen known fixed-point theorems inD-metric spaces including those of Dhage (2000) and Rhoades (1996).


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