Paperback. Etat : New. Print on Demand. This book defines and explores semivector spaces, elaborating on their algebraic aspects and some structure theory. It goes on to topologize these spaces, and identify a hierarchy of local convexity axioms for real semilinear topological spaces. The author establishes a number of fixed point and minmax theorems for spaces with various local convexity properties. They illustrate how the spaces of concern arise naturally as various hyperspaces of linear and semilinear spaces and indicate briefly how the material of the earlier sections is applied in socio-economic analysis and optimization. In contrast to vector spaces, semivector spaces are built upon underlying commutative semigroups, so that the space need not have an origin (identity element) and its elements need not possess inverses. The author uses this foundation to generalize well-known fixed point theorems due to S. Kakutani H. F. Bohnenblust, S. Karlin and K. Fan. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332281459_0

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Articles li�s � Semilinear (Topological) Spaces and Applications: June,...

Semilinear (Topological) Spaces and Applications: June, 1971 (Classic Reprint) - Couverture souple

Prakash, Prem

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