IJPAM: Volume 107, No. 1 (2016)

FOR RANDOM NOOR-TYPE ITERATIVE SCHEME



Michael Okpara University of Agriculture
Umudike, P.M.B. 7267, Umuahia, Abia State, NIGERIA

College of Science and Technology
Covenant University
Canaanland, KM 10 Idiroko Road, P.M.B. 1023 Ota
Ogun State, NIGERIA
Abstract. The purpose of this study is to introduce a Noor-type random iterative scheme and prove the convergence of this kind of random iterative scheme for certain -weakly contractive type random operators. The Bochner integrability of random fixed points for this kind of random operators and the almost sure
-stability and convergence for Noor-type random iterative scheme are established. Our results are stochastic generalizations of the deterministic fixed point theorems of Berinde [#!BERINDE2002!#,#!BERINDE2004!#] and Rhoades [#!RHOADES1974!#]-[#!RHOADES2001!#].
Received: June 12, 2015
AMS Subject Classification: 47H09, 47H10, 49M05, 54H25
Key Words and Phrases: Bochner integrability, Noor-type random iterative scheme, almost sure -stability, random fixed point
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DOI: 10.12732/ijpam.v107i1.1 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: 2016
Volume: 107
Issue: 1
Pages: 1 - 16
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