Document Type
Report
Source Publication Title
Technical Report 26
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.
Disciplines
Mathematics | Physical Sciences and Mathematics
Publication Date
6-1-1975
Language
English
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Lakshmikantham, V. and Eisenfeld, Jerome, "On a Measure of Nonconvexity and Applications" (1975). Mathematics Technical Papers. 257.
https://mavmatrix.uta.edu/math_technicalpapers/257