Download E-books Nonstandard Methods in Fixed Point Theory (Universitext) PDF

By Asuman G. Aksoy

A unified account of the key new advancements encouraged via Maurey's program of Banach house ultraproducts to the fastened element concept for non-expansive mappings is given during this textual content. the 1st 3rd of the booklet is dedicated to laying a cautious origin for the particular fastened aspect theoretic effects which stick to. Set theoretic and Banach house ultraproducts buildings are studied intimately within the moment a part of the booklet, whereas the rest of the booklet supplies an creation to the classical mounted element thought as well as a dialogue of ordinary constitution. this can be the 1st e-book which reports classical mounted aspect conception for non-expansive maps within the view of non-standard equipment.

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