Random Approximation with Weak Contraction Random Operator and Random Fixed Point Theorem for Nonexpansive Random Mapping

2010 ◽  
Author(s):  
Suhong Li ◽  
Lingmin Zhang ◽  
Xin Xiao ◽  
Lihua Li ◽  
Hongwu Yin ◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Random Operator ◽  
Weak Contraction ◽  
Random Fixed Point ◽  
Random Mapping ◽  
Random Fixed Point Theorem

Random fixed point theorem in generalized Banach space and applications

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
Moulay Larbi Sinacer ◽  
Juan Jose Nieto ◽  
Abdelghani Ouahab
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Random Operator ◽  
Existence Of Solution ◽  
Random Fixed Point ◽  
Random Differential Equations ◽  
Random Fixed Point Theorem

AbstractIn this paper, we prove some random fixed point theorems in generalized Banach spaces. We establish a random version of a Krasnoselskii-type fixed point theorem for the sum of a contraction random operator and a compact operator. The results are used to prove the existence of solution for random differential equations with initial and boundary conditions. Finally, some examples are given to illustrate the results.

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.

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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