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Random fixed points of multivalued random operators with property (D)

Random fixed points of multivalued random operators with property (D) The purpose of this paper is to prove some random fixed point theorem for multivalued nonexpansive non-self random operators. We will prove the existence of a random fixed point theorem for multivalued non-self random operator in the framework of a Banach space with property (D), and satisfying an inwardness condition. Our work also extends the stochastic version of the results of Kumam P. Kumam, A note on some fixed point theorems for set-valued non-self mappings in Banach spaces. Int. Journal of Math. Analysis, to appear., and improves the work of Kumam and Plubtieng P. Kumam and S. Plubtieng, Random fixed point theorems for multivalued nonexpansive operators in uniformly nonsquare Banach spaces. Random Oper. and Stoch. Equ . 14(1) (2006), 35–44.. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Random Operators and Stochastic Equations de Gruyter

Random fixed points of multivalued random operators with property (D)

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References (25)

Publisher
de Gruyter
Copyright
Copyright 2007, Walter de Gruyter
ISSN
0926-6364
eISSN
1569-397x
DOI
10.1515/rose.2007.008
Publisher site
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Abstract

The purpose of this paper is to prove some random fixed point theorem for multivalued nonexpansive non-self random operators. We will prove the existence of a random fixed point theorem for multivalued non-self random operator in the framework of a Banach space with property (D), and satisfying an inwardness condition. Our work also extends the stochastic version of the results of Kumam P. Kumam, A note on some fixed point theorems for set-valued non-self mappings in Banach spaces. Int. Journal of Math. Analysis, to appear., and improves the work of Kumam and Plubtieng P. Kumam and S. Plubtieng, Random fixed point theorems for multivalued nonexpansive operators in uniformly nonsquare Banach spaces. Random Oper. and Stoch. Equ . 14(1) (2006), 35–44..

Journal

Random Operators and Stochastic Equations – de Gruyter

Published: Jul 20, 2007

Keywords: Random fixed point,; multivalued mappings,; inwardness condition,; random operators.

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