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The Journal Of Undergraduate Research: Volume 11
The Journal Of Undergraduate Research: Volume 11
The Journal of Undergraduate Research
This is the complete issue of the South Dakota State University Journal of Undergraduate Research, Volume 11.
Theory And Applications Of Correspondences, Heather Olson
Theory And Applications Of Correspondences, Heather Olson
The Journal of Undergraduate Research
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.