IJPAM: Volume 120, No. 4 (2018)

Title

RESULTS ON GENERAL $\phi$-WEAKLY RANDOM OPERATORS

Authors

Salwa Salman Abed$^1$, Yusra Jarallah Ajeel$^2$, Saheb K. Alsaidy$^3$
$^1$Department of Mathematics
College of Education for Pure Sciences (Ibn-Haitham)
University of Baghdad
Baghdad, IRAQ
$^{2,3}$Department of Mathematics
College of Sciences
Al-Mustansirya University
Baghdad, IRAQ

Abstract

In this paper, firstly, we prove the existence of random coincidence points for general $\phi$-weakly contraction condition under two pairs of random operators, where $\phi$ is continuous monotone real function. As applications, related common fixed point results are established, the well-posed random fixed point problem is studied and the convergence of random Mann's iteration to a common random fixed point is proved. Our results, essentially, are cover special cases about existence random coincidence points.

History

Received: February 24, 2017
Revised: December 6, 2018
Published: March 12, 2019

AMS Classification, Key Words

AMS Subject Classification: 47B80, 47H40, 60H25
Key Words and Phrases: $p$-normed spaces, random coincidence points, common random fixed point, well-posed random fixed point problem

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How to Cite?

DOI: 10.12732/ijpam.v120i4.9 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 4
Pages: 583 - 600


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