scholarly journals Four Types of Fixed-Point Theorems for Multifunctions in Probabilistic Metric Spaces

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3212
Author(s):  
Endre Pap
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Probabilistic Metric

An overview of fixed-point theorems (F.P.T.s) for multifunctions in probabilistic metric spaces is given. Extensions of the fixed-point theorems on probabilistic metric spaces of Nadler, Hadžić, Itoh, and Miheţ are presented. In the end, some hints about some further related investigations are given.

Fixed point theorems in probabilistic metric spaces using property (E.A)

2013 ◽  
Vol 17 (2) ◽  
pp. 11-24
Author(s):  
Badridatt Pant ◽  
Brian Fisher ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Probabilistic Metric

scholarly journals Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Chuanxi Zhu ◽  
Wenqing Xu ◽  
Zhaoqi Wu
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Existence Of Solutions ◽  
Probabilistic Metric Spaces ◽  
Contraction Mappings ◽  
Probabilistic Metric

We introduce the concepts of(H,ψ,Φ)-contraction and probabilistic(α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces. Our results generalize and extend many comparable results in existing literature. Some examples are also given to support our results. Finally, an application to the existence of solutions for a class of integral equations is presented by utilizing one of our main results.

scholarly journals Common fixed point theorems in complete metric and probabilistic metric spaces

1987 ◽  
Vol 36 (1) ◽  
pp. 73-88 ◽  
Author(s):  
Mila Stojakovic
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Continuous Mappings ◽  
Contraction Condition ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper several common fixed point theorems for four continuous mappings in Menger and metric spaces are proved. These mappings are assumed to satisfy some generalizations of the contraction condition.

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