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On a Measure of Nonconvexity and Applications

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On a Measure of Nonconvexity and Applications

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Title: On a Measure of Nonconvexity and Applications
Author: Lakshmikantham, V.; Eisenfeld, Jerome
Abstract: The measure of noncompactness which was introduced by Kuratowski [8] (in 1930) has now become an important tool in nonlinear analysis (although its value in that regard was not appreciated until much later). Following Kuratowski we introduce a measure of nonconvexity which has many properties in common with the measure of noncompactness and therefore we may now have "convex" where previously we had "compact" in the statements of some theorems.
URI: http://hdl.handle.net/10106/2198
Date: 1975-06

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