Throughout this paper, we will examine correspondences, also known as set-valued functions. A definition of correspondences and their graphs are given. Properties of correspondences including continuity, optimization, and existence of fixed points are considered. Examples are considered demonstrating these properties. Applications in the field of Economics are introduced. Specifically the optimization of consumer utility is examined through examples.
"Theory and Applications of Correspondences,"
The Journal of Undergraduate Research: Vol. 11
, Article 6.
Available at: http://openprairie.sdstate.edu/jur/vol11/iss1/6