Abstract. Let Pcp,cv(R n ) be the family of all nonempty compact, convex subsets of R n . We consider the following set integral equations:whereand X0 ∈ Pcp,cv(R n ). The purpose of the paper is to study the existence and data dependence of the solutions of the set integral equations (1) and (2), by using a fixed point approach. Our results generalize and extend the results given in [2]. For other similar results see [3] and [4].
Abstract. Let P cp,cv (R n ) be the family of all nonempty compact convex subsets of the real n-dimensional space R n endowed with the Pompeiu-Hausdorff metric H. We consider the following Cauchy problem with respect to a set differential equation:The aim of the article is to present existence, uniqueness, approximation and data dependence results for the solution of some set functional-differential Cauchy problems by a fixed point approach.
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