The concept of convexity has far-reaching consequences in variational analysis. In the study of maximization and minimization, the division between problems of convex or nonconvex type is as significant as the division in other areas of mathematics between problems of linear or nonlinear type. Furthermore, convexity can often be introduced or utilized in a local sense and in this way serves many theoretical purposes.
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© 1998 Springer-Verlag Berlin Heidelberg
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(1998). Convexity. In: Variational Analysis. Grundlehren der mathematischen Wissenschaften, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02431-3_2
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DOI: https://doi.org/10.1007/978-3-642-02431-3_2
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