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The paper is a contribution to the problem of approximating random set with values in a separable Banach space. This class of set-valued function is widely used in many areas. We investigate the properties of p-bounded integrable random set. Based on this we endow it with Δp metric which can be viewed as a integral type hausdorff metric and present some approximation...
Abstract The paper is a contribution to the problem of approximating random set with values in a separable Banach space. This class of set-valued function is widely used in many areas. We investigate the properties of p-bounded integrable random set. Based on this we endow it with p metric which can be viewed as a integral type hausdorff metric and present some approximation theorem of a class of...
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