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.

scholarly journals Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using <i>R</i>-Weakly Commuting Mappings

2012 ◽  
Vol 03 (03) ◽  
pp. 225-230 ◽  
Author(s):  
Saurabh Manro ◽  
Satwinder Singh Bhatia ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Weakly Commuting Mappings ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

scholarly journals Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1212
Author(s):  
Mathuraiveeran Jeyaraman ◽  
Mookiah Suganthi ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

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 Common Fixed Point Results For R - Weakly Commuting Mappings In Generalized Fuzzy Metric Spaces

2014 ◽  
Vol 09 (02) ◽  
pp. 89-102
Author(s):  
R. Muthuraj ◽  
R. Pandiselvi ◽  
S. Manro
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
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.

scholarly journals Common Fixed Point Results for Four Mappings on Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
A. Duran Turkoglu ◽  
Vildan Ozturk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Contractive Condition ◽  
Partial Metric ◽  
Partial Metric Spaces

We give fixed point results for four mappings which satisfy almost generalized contractive condition on partial metric space and we support the results with an example.

scholarly journals Results on common fixed points on complete metric spaces

1980 ◽  
Vol 21 (1) ◽  
pp. 165-167 ◽  
Author(s):  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Unique Fixed Point ◽  
Common Fixed Points ◽  
Complete Metric Spaces ◽  
Image Position ◽  
Commuting Mappings ◽  
Unique Common Fixed Point

The following theorem was proved in [1].Theorem 1. Let S and T be continuous, commuting mappings of a complete, bounded metric space (X, d) into itself satisfying the inequalityfor all x, y in X, where 0≤c<1 and p, p′, q, q′≥0 are fixed integers with p+p′, q+q′≥1. Then S and T have a unique common fixed point z. Further, if p′ or q′ = 0, then z is the unique fixed point of S and if p or q = 0, then z is the unique fixed point of T.

scholarly journals Fixed point theorems for the pair of coincidentally commuting mappings in d-metric space

2010 ◽  
Vol 7 (2) ◽  
pp. 529-532
Author(s):  
Durdana Lateef ◽  
A. Bhattacharya
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Commuting Mappings

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

scholarly journals Common Fixed Point Theorems for a Class of Twice Power Type Contraction Maps inG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Hongqing Ye ◽  
Feng Gu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Power Type ◽  
Common Fixed Point Theorems ◽  
Type Contraction ◽  
Contraction Maps

We introduce a new twice power type contractive condition for three mappings inG-metric spaces, and several new common fixed point theorems are established in completeG-metric space. An example is provided to support our result. The results obtained in this paper differ from other comparable results already known.

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