The Fundamental Continuity Theory of Optimization on a Compact Space I (Classic Reprint) - Couverture souple

Sertel, Murat R.

 
9781334016899: The Fundamental Continuity Theory of Optimization on a Compact Space I (Classic Reprint)

Synopsis

This book explores the mathematical concept of optimization on a confined space. It investigates the continuity of the set of optimal solutions and its associated maps under varying conditions, such as the objective function, incentive functions, and parameters. The author utilizes set theory and topology to establish sufficient conditions for these functions to be continuous. The book's significance lies in its theoretical framework for understanding the fundamental topological nature of optimization problems. By providing a deeper understanding of the mathematical underpinnings of optimization, this book contributes to the advancement of the field and will be of interest to mathematicians, economists, and researchers working in optimization and decision theory.

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