scholarly journals Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Kenza Benkirane ◽  
Abderrahim EL Adraoui ◽  
El Miloudi Marhrani
Keyword(s):  
Fixed Point ◽  
Iterative Process ◽  
Fixed Point Theorems ◽  
Stochastic Integral ◽  
Equation System ◽  
Random Operators ◽  
Stochastic Integral Equation ◽  
Random Fixed Point ◽  
Weakly Contractive ◽  
Uniqueness Of A Solution

The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.

scholarly journals Random fixed point theorems for nonexpansive and contractive-type random operators on Banach spaces

1994 ◽  
Vol 7 (4) ◽  
pp. 569-580 ◽  
Author(s):  
Ismat Beg ◽  
Naseer Shahzad
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorems ◽  
Coincidence Point ◽  
Random Operators ◽  
Random Coincidence ◽  
Random Fixed Point ◽  
Random Fixed Points ◽  
Multivalued Operators ◽  
Contractive Type

The existence of random fixed points. for nonexpansive and pseudocontractive random multivalued operators defined on unbounded subsets of a Banach space is proved. A random coincidence point theorem for a pair of compatible random multivalued operators is established.

Random fixed points of asymptotically nonexpansive random operators on unbounded domains

2008 ◽  
Vol 58 (6) ◽  
Author(s):  
Ismat Beg ◽  
Mujahid Abbas
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Unbounded Domains ◽  
Random Operator ◽  
Random Operators ◽  
Random Fixed Point ◽  
Random Fixed Points ◽  
Asymptotically Nonexpansive

AbstractThe aim of this paper is to prove some random fixed point theorems for asymptotically nonexpansive random operator defined on an unbounded closed and starshaped subset of a Banach space.

scholarly journals Random fixed point theorems for Ciric quasi contraction in cone random metric spaces

2015 ◽  
Vol 53 (1) ◽  
pp. 163-175
Author(s):  
G. S. Saluja
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Recent Result ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Random Operators ◽  
Random Fixed Point ◽  
Random Fixed Point Theorem

Abstract The purpose of this paper is to establish a common random fixed point theorem by using Ciric quasi contraction for two random operators in the framework of cone random metric spaces and also to obtain some random fixed point results as corollaries. Our results extend and generalize the corresponding recent result from the current existing literature.

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.

scholarly journals Common random fixed points of compatible random operators

2006 ◽  
Vol 2006 ◽  
pp. 1-15 ◽  
Author(s):  
Ismat Beg ◽  
Mujahid Abbas
Keyword(s):  
Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Iteration Scheme ◽  
Random Operators ◽  
Random Fixed Point ◽  
Polish Spaces ◽  
Random Fixed Points ◽  
Weakly Compatible ◽  
Random Iteration

We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.

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