Convex and Lower-Semicontinuous Functions

Adina Chirilă (), Marin Marin and Andreas Öchsner
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Adina Chirilă: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Marin Marin: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Andreas Öchsner: Esslingen University of Applied Sciences, Faculty of Mechanical Engineering

Chapter Chapter 3 in Distribution Theory Applied to Differential Equations, 2021, pp 25-35 from Springer

Abstract: Abstract In this chapter, one section is about convex functions and their properties. Another section is about lower-semicontinuous functions and their properties in compact topological spaces and in Banach spaces. The final section presents some properties of functions that are both convex and lower-semicontinuous. More precisely, some conditions are discussed that are needed for such a function to take a minimum value on a Banach space.

Date: 2021
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DOI: 10.1007/978-3-030-67159-4_3

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