On set-valued solution of an n-order iterative functional equation |
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| Authors: | Jiyu Zhong |
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| Affiliation: | (1) Laboratoire de mathématiques Raphaël Salem, Université de Rouen, 76821 Mont-St-Aignan Cedex, France;(2) Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Boîte Courrier 187, 75252 Paris Cedex 05, France |
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| Abstract: | A n-order iterative functional equation is considered for set-value function in a nonempty convex compact subset D in Banach space. A result on the existence and uniqueness of its solution is presented without monotonicity. Besides, continuous dependence of the solution upon the given function is obtained. |
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