scholarly journals An existence theorem for ordinary differential equation in Menger probabilistic metric space

2014 ◽  
Vol 15 (2) ◽  
pp. 711 ◽  
Author(s):  
Abdolrahman Razani
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Existence Theorem ◽  
Metric Space ◽  
Probabilistic Metric Space ◽  
Probabilistic Metric ◽  
Menger Probabilistic Metric Space

scholarly journals On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

2021 ◽  
Vol 22 (2) ◽  
pp. 435
Author(s):  
Ravindra K. Bisht ◽  
Vladimir Rakocević
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Point Property ◽  
Probabilistic Metric Space ◽  
Discontinuous Mappings ◽  
Probabilistic Metric ◽  
Menger Probabilistic Metric Space ◽  
Probabilistic Version

<p>A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (ϵ - δ) type non-expansive mappings is established.</p>

scholarly journals Multivalued operator with respect generalized distance on Menger probabilistic metric spaces

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1675-1682
Author(s):  
Reza Saadati
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Multivalued Operator ◽  
Probabilistic Metric Space ◽  
Probabilistic Metric Spaces ◽  
Contractive Type ◽  
Probabilistic Metric ◽  
Menger Probabilistic Metric Space ◽  
Generalized Distance

In this paper, we recall the concept of r-distance on a Menger probabilistic metric space. Further we prove a fixed point theorem for contractive type multi-valued operators in terms of a r-distance on a complete Menger probabilistic metric space.

On compactness of probabilistic metric space

2014 ◽  
Vol 8 ◽  
pp. 1703-1710
Author(s):  
Abderrahim Mbarki ◽  
Abedelmalek Ouahab ◽  
Naciri Rachid
Keyword(s):  
Metric Space ◽  
Probabilistic Metric Space ◽  
Probabilistic Metric
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