scholarly journals Coupled fixed point theorems for weakly compatible mappings along with $CLR$ property in Menger metric spaces

2016 ◽  
Vol 8 (2) ◽  
pp. 195-210
Author(s):  
L. Ben Aoua ◽  
A. Aliouche
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fixed Point Problems ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Menger Metric Space

Coupled fixed point problems have attracted much attention in recent times. The aim of this paper is to extend the notions of E.A. property, CLR property and JCLR property for coupled mappings in Menger metric space and use this notions to generalizes the recent results of Jian-Zhong Xiao. The main result is supported by a suitable example.

scholarly journals COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN COMPLEX VALUED b-METRIC SPACES

2017 ◽  
Vol 12 (12) ◽  
pp. 7014-7022
Author(s):  
Anil Kumar Dubey ◽  
Madhubala Kasar ◽  
Ravi Prakash Dubey
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Complex Valued ◽  
Common Fixed Point Theorems

In this paper, we prove a common xed point theorem for weakly compatible mappings in complex valued b-metric space and also improve the condition of contraction of the results of M. Kumar et al.[7]. Further, we prove common xed point theorems for weakly compatible mappings with (E.A.) property and (CLRg) property.

scholarly journals Common coupled fixed point theorems for two pairs of weakly compatible mappings in Menger metric spaces

2019 ◽  
Vol 5 (2) ◽  
pp. 197-221
Author(s):  
Abdelkrim Abdelhalim ◽  
Abdelkrim Aliouche ◽  
Leila Ben Aoua ◽  
Oussaeif Taki-Eddine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Common Coupled Fixed Point ◽  
Contractive Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

AbstractIn this paper, we prove some common coupled fixed point theorems for contractive mappings in Menger metric spaces under geometrically convergent t-norms. Also, we prove common fixed point theorems for pairs of weakly compatible mappings, which generalize the results of Jian-Zhong Xiao and al (2011). The main results is supported by a suitable examples.

scholarly journals Some Results by Using CLR’s-Property in Probabilistic 2-Metric Space

2021 ◽  
Vol 19 (6) ◽  
pp. 904-914
Author(s):  
V. Srinivas ◽  
K. Satyanna
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible

The aim of this paper is to generate two fixed point theorems in probabilistic 2-metric space by applying CLR’S-property and occasionally weakly compatible mappings (OWC), these two results generalize the theorem proved by V. K. Gupta, Arihant Jain and Rajesh Kumar. Further these results are justified with suitable examples.

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