Some random fixed point theorems for nonlinear mappings

2002 ◽  
Vol 50 (2) ◽  
pp. 265-274 ◽  
Author(s):  
P.Lorenzo Lorenzo Ramı́rez
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Random Fixed Point ◽  
Nonlinear Mappings

scholarly journals Random equations and its application towards best random proximity point theorems

2018 ◽  
Vol 34 (2) ◽  
pp. 199-206
Author(s):  
SOMAYYA KOMAL ◽  
◽  
POOM KUMAM ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Random Fixed Point

In this paper best random proximity points equations have been proved. As a result best random proximity points and best random p-proximity points have been proposed with the help of new generalized notions. These are generalizations of random fixed point theorems. Also, the concept of random best p-proximity points has also be proposed in this work and corresponding theorems are also defined here.

scholarly journals Generalized Random α-ψ-Contractive Mappings with Applications to Stochastic Differential Equation

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 143
Author(s):  
Chayut Kongban ◽  
Poom Kumam ◽  
Juan Martínez-Moreno ◽  
Kanokwan Sitthithakerngkiet
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Differential Equations ◽  
Stochastic Differential Equation ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Random Fixed Point ◽  
Contractive Mappings ◽  
Random Differential Equations ◽  
Contractive Maps

The main purpose in this paper is to define the modification form of random α -admissible and random α - ψ -contractive maps. We establish new random fixed point theorems in complete separable metric spaces. The interpretation of our results provide the main theorems of Tchier and Vetro (2017) as directed corollaries. In addition, some applications to second order random differential equations are presenred here to interpret the usability of the obtained results.

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