Some fixed point theorems in an intuitionistic Menger space via C ‐class and inverse C ‐class functions

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Rajinder Sharma ◽  
Arslan H. Ansari
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Space

scholarly journals Some fixed point results in probabilistic Menger space

2017 ◽  
Vol 35 (3) ◽  
pp. 9
Author(s):  
Maryam Shams ◽  
Shahnaz Jafari
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Mapping ◽  
Menger Space

In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space and prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.

scholarly journals n-Tupled Coincidence Point Theorems for Probabilistic ψ-Contractions in Menger Spaces

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Penumarthy Parvateesam Murthy ◽  
Uma Devi Patel
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Gauge Function ◽  
Triangular Norm ◽  
Menger Space ◽  
Menger Spaces ◽  
Weak Compatibility

We introduced n-tupled coincidence point for a pair of maps T:Xn→X and A:X→X in Menger space. Utilizing the properties of the pseudometric and the triangular norm, we will establish n-tupled coincidence point theorems under weak compatibility as well as n-tupled fixed point theorems for hybrid probabilistic ψ-contractions with a gauge function. Our main results do not require the conditions of continuity and monotonicity of ψ. At the end of this paper, an example is given to support our main theorem.

scholarly journals Common fixed point theorems in Menger spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-15
Author(s):  
Chi-Ming Chen ◽  
Tong-Huei Chang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Menger Space ◽  
Menger Spaces ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

We proved two common fixed point theorems for four self-mappings and two set-valued mappings withφ-contractive condition in a Menger space.

scholarly journals Functional-Type Caristi–Kirk Theorem on Menger Space and Application

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Soumia Chaira ◽  
Mohammed Dahmouni ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Functional Type ◽  
Probabilistic Metric Spaces ◽  
Menger Space ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.

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