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Random fixed points of multivalued random operators with property (D)
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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.].
Title: Random fixed points of multivalued random operators with property (D)
Description:
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.
].
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