Caristi type hybrid fixed point theorems in menger probabilistic metric space

1997 ◽  
Vol 18 (2) ◽  
pp. 201-209 ◽  
Author(s):  
Shi Chuan
2021 ◽  
Vol 22 (2) ◽  
pp. 435
Author(s):  
Ravindra K. Bisht ◽  
Vladimir Rakocević

<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>


2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Arvind Bhatt ◽  
Harish Chandra

We obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a setXtogether with the functionF:X×X→Δwithout using the triangle inequality and without using the symmetric condition. Our results extend the results of Bhatt et al. (2010).


Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1675-1682
Author(s):  
Reza Saadati

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.


2019 ◽  
Vol 24 (5) ◽  
Author(s):  
Shahnaz Jafari ◽  
Maryam Shams ◽  
Asier Ibeas ◽  
Manuel De La Sen

In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space) as a type of probabilistic metric space. Also, we investigate the existence of fixed points for a (finite or infinite) linear combination of different types of contractive mappings in EPM-spaces. Furthermore, we investigate about the convergence of sequences (generated by a finite or infinite family of contractive mappings) to a common fixed point. The useful application of this research is the study of the stability of switched dynamic systems, where we study the conditions under which the iterative sequences generated by a (finite or infinite) linear combination of mappings (contractive or not), converge to the fixed point. Also, some examples are given to support the obtained results. In the end, a number of figures give us an overview of the examples.


Sign in / Sign up

Export Citation Format

Share Document