Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.329-341
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
APPROXIMATING RANDOM COMMON FIXED POINT OF RANDOM SET-VALUED STRONGLY PSEUDO-CONTRACTIVE MAPPINGS
- LI JUN (Department of Mathematics, China West Normal University) ;
- HUANG NAN JING (Department of Mathematics, Sichuan University)
- Published : 2005.01.01
Abstract
In this paper, we introduce new random iterative sequences with errors approximating a unique random common fixed point for three random set-valued strongly pseudo-contractive mappings and show the convergence of the random iterative sequences with errors by using an approximation method in real uniformly smooth separable Banach spaces. As applications, we study the existence of random solutions for some kind of random nonlinear operator equations group in separable Hilbert spaces.
Keywords
- Random strongly pseudo-contractive mapping;
- iteration with errors;
- random common fixed point;
- set-valued mapping