Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness

2020 ◽  
Vol 22 (4) ◽  
Author(s):  
Adil El-Ghabi ◽  
Mohamed Aziz Taoudi
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Weak Topology ◽  
Fixed Point Theorems ◽  
Random Fixed Point ◽  
Lack Of Compactness ◽  
Random Integral

scholarly journals Random fixed point theorems in Banach algebras with applications to random integral equations

2003 ◽  
Vol 34 (1) ◽  
pp. 29-44
Author(s):  
B. C. Dhage
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Banach Algebras ◽  
Random Solution ◽  
Random Fixed Point ◽  
Nonlinear Functional ◽  
Carathéodory Conditions ◽  
Random Integral

The present paper studies the random versions of some deterministic fixed point theorems of Dhage [5] and Dhage and Regon [7]. Applications are given to a certain nonlinear functional random integral equation for proving the existence of random solution under the generalized Lipschitzicity and Caratheodory conditions.

Random fixed point theorems based on orbits of random mappings with some applications to random integral equations

2015 ◽  
Vol 23 (4) ◽  
Author(s):  
B. L. S. Prakasa Rao ◽  
V. Varadarajaperumal
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Random Fixed Point ◽  
Random Mappings ◽  
Random Integral

AbstractWe obtain some random fixed point theorems for random mappings. We use the orbits of the random mappings to show the existence of a fixed point for a class of random mappings and also establish the measurability of solutions obtained through such random mappings. Some applications of these theorems to random integral equations are given.

scholarly journals On random fixed point theorems with applications to integral equations

Heliyon ◽  
2019 ◽  
Vol 5 (5) ◽  
pp. e01641 ◽  
Author(s):  
Kanayo Stella Eke ◽  
Hudson Akewe ◽  
Sheila Amina Bishop
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Random Fixed Point

scholarly journals Monotone iterative technique for Caratheodory theory of nonlinear functional random integral equations

2002 ◽  
Vol 33 (4) ◽  
pp. 341-352 ◽  
Author(s):  
B. C. Dhage
Keyword(s):  
Banach Space ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Monotone Iterative Technique ◽  
Iterative Technique ◽  
Random Fixed Point ◽  
Nonlinear Functional ◽  
Monotone Iterative ◽  
Monotonicity Conditions ◽  
Random Integral

In this paper some random fixed point theorems for the mappings on an ordered Banach space are proved. As applications, the existence of the extremal solutions of some nonlinear functional random integral equations is obtained under certain monotonicity conditions.

scholarly journals Some Algebraic and topological random fixed point theorems with applications to nonlinear random integral equations

2004 ◽  
Vol 35 (4) ◽  
pp. 321-346 ◽  
Author(s):  
B. C. Dhage
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Mixed Type ◽  
Fixed Point Theorems ◽  
Random Operators ◽  
Random Fixed Point ◽  
Nonlinear Functional ◽  
Monotonicity Conditions ◽  
Random Integral ◽  
Equation Of Mixed Type

In this paper some algebraic and topological random fixed point theorems are proved involving the three random operators on a Banach algebra and they are further applied to a certain nonlinear functional random integral equation of mixed type for proving the existence as well as existence of extremal random solutions under the generalized Lipschizicity, Carath´eodory and monotonicity conditions.

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