Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic ...
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Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.
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Add this copy of Handbook of Metric Fixed Point Theory to cart. $139.99, very good condition, Sold by The Bookish Stitch rated 4.0 out of 5 stars, ships from Cedar Rapids, IA, UNITED STATES, published 2001 by Springer Netherlands.
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Very Good. 0792370732. The product is the "Handbook of Metric Fixed Point Theory" by William A. Kirk, published in 2001 by Springer Netherlands. This textbook covers various mathematical subjects such as Geometry, Functional Analysis, Algebra, and Discrete Mathematics, providing a comprehensive guide to metric fixed point theory. The book is a hardcover edition with 704 pages, written in English and aimed at students and researchers in mathematics. The ISBN-13 is 9780792370734, and the dimensions are 9.3 inches in length and 6.1 inches in width, with a weight of 91.7 ounces.; 14.00 x 12.00 x 1.00.
Add this copy of Handbook of Metric Fixed Point Theory to cart. $202.82, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2001 by Springer.
