scholarly journals Random Fixed Point on Ishikawa Random Iteration Under Fibonacci Sequence

2021 ◽  
Vol 1879 (3) ◽  
pp. 032044
Author(s):  
Sabah Hassan Malih
Keyword(s):  
Fixed Point ◽  
Fibonacci Sequence ◽  
Random Fixed Point ◽  
Random Iteration

scholarly journals Convergence of a random iteration scheme to a random fixed point

1995 ◽  
Vol 8 (2) ◽  
pp. 139-142 ◽  
Author(s):  
Binayak S. Choudhury
Keyword(s):  
Fixed Point ◽  
Iteration Scheme ◽  
Random Operators ◽  
Random Fixed Point ◽  
Ishikawa Iteration ◽  
Random Iteration

This paper discusses the convergence of random Ishikawa iteration scheme to a random fixed point for a certain class of random operators.

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.

scholarly journals Approximation of common random fixed point for a finite family of non-self asymptotically nonexpansive random mappings

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
G. S. Saluja
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Iteration Scheme ◽  
Finite Family ◽  
Uniformly Convex ◽  
Random Fixed Point ◽  
Asymptotically Nonexpansive ◽  
Random Iteration ◽  
Random Mappings

AbstractIn this paper, we study multi-step random iteration scheme with errors for a common random fixed point of a finite family of nonself asymptotically nonexpansive random mappings in real uniformly convex separable Banach spaces. The results presented in this paper extend the recent ones announced by Zhou and Wang [

scholarly journals Approximation of a Common Random Fixed Point for a Finite Family of Random Operators

2007 ◽  
Vol 2007 ◽  
pp. 1-12 ◽  
Author(s):  
Somyot Plubtieng ◽  
Poom Kumam ◽  
Rabian Wangkeeree
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Iteration Process ◽  
Finite Family ◽  
Random Operators ◽  
Uniformly Convex ◽  
Random Fixed Point ◽  
Uniformly Convex Banach Spaces ◽  
Random Iteration

We construct implicit random iteration process with errors for a common random fixed point of a finite family of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces. The results presented in this paper extend and improve the corresponding results of Beg and Abbas in 2006 and many others.

scholarly journals An iteration for finding a common random fixed point

2004 ◽  
Vol 2004 (4) ◽  
pp. 385-394
Author(s):  
Binayak S. Choudhury
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Convex Subset ◽  
Separable Hilbert Space ◽  
Iteration Scheme ◽  
Random Operators ◽  
Random Fixed Point ◽  
Random Iteration

We define a random iteration scheme and consider its convergence to a common random fixed point of two random operators defined on a convex subset of a separable Hilbert space. We also consider the case when the subset is further compact.

Random iterative algorithms and almost sure stability in Banach spaces

Filomat ◽  
2017 ◽  
Vol 31 (12) ◽  
pp. 3611-3626 ◽  
Author(s):  
Abdul Khan ◽  
Vivek Kumar ◽  
Satish Narwal ◽  
Renu Chugh
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Iterative Algorithms ◽  
Random Operator ◽  
Almost Sure Stability ◽  
Random Fixed Point ◽  
Stochastic Version ◽  
Contractive Type ◽  
Bochner Integrability ◽  
Weakly Contractive

Many popular iterative algorithms have been used to approximate fixed point of contractive type operators. We define the concept of generalized ?-weakly contractive random operator T on a separable Banach space and establish Bochner integrability of random fixed point and almost sure stability of T with respect to several random Kirk type algorithms. Examples are included to support new results and show their validity. Our work generalizes, improves and provides stochastic version of several earlier results by a number of researchers.

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.

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