Measures of noncompactness and fixed points of random operators |
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| Authors: | PS Chandrasekharan AT Bharucha-Reid |
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| Institution: | Depatment of Mathematics and Computer Science , Atlanta University , Atlanta, GA, 30314 |
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| Abstract: | The existence of random solutions is established for a class of random Volterra integral inclusions in which the orientor field has a stochastic domain. The proof is based on a stochastic analog of the Tietze extension theorem and on a deterministic existence result which are established as well in the paper. In particular the deterministic existence theorem is stated and proved for nonconvex orientor fields |
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