A Common Unique Random Fixed Point Theorem for Expansive Type Mapping in Hilbert Space

2013 ◽  
Vol 4 (2) ◽  
pp. 26
Author(s):  
Prabha Chouhan ◽  
Neeraj Malviya
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Random Fixed Point ◽  
Type Mapping ◽  
Random Fixed Point Theorem

Existence results for a class of random delay integrodifferential equations

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Amadou Diop ◽  
Mamadou Abdul Diop ◽  
K. Ezzinbi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Operator Theory ◽  
Mild Solutions ◽  
Random Delay ◽  
Random Fixed Point ◽  
Unbounded Delay ◽  
Carathéodory Conditions ◽  
Random Fixed Point Theorem

Abstract In this paper, we consider a class of random partial integro-differential equations with unbounded delay. Existence of mild solutions are investigated by using a random fixed point theorem with a stochastic domain combined with Schauder’s fixed point theorem and Grimmer’s resolvent operator theory. The results are obtained under Carathéodory conditions. Finally, an example is provided to illustrate our results.

Random fixed point theorem in probabilistic analysis

1981 ◽  
Vol 5 (2) ◽  
pp. 113-122 ◽  
Author(s):  
Shih-sen Chang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Probabilistic Analysis ◽  
Random Fixed Point ◽  
Random Fixed Point Theorem

scholarly journals An Application of Random Fixed Point Theorem in Integral Equation

2014 ◽  
Vol 9 (4) ◽  
pp. 57-61
Author(s):  
Mukti Gangopadhyay ◽  
◽  
Pritha Dan ◽  
M. Saha
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Random Fixed Point ◽  
Random Fixed Point Theorem
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