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Author:   W.A. Kirk ,  B. Sims
Publisher:   Springer
Imprint:   Springer
Edition:   2001 ed.
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   2.600kg
ISBN:  

9780792370734

ISBN 10:   0792370732
Pages:   704
Publication Date:   30 June 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Contraction mappings and extensions.- 2 Examples of fixed point free mappings.- 3 Classical theory of nonexpansive mappings.- 4 Geometrical background of metric fixed point theory.- 5 Some moduli and constants related to metric fixed point theory.- 6 Ultra-methods in metric fixed point theory.- 7 Stability of the fixed point property for nonexpansive mappings.- 8 Metric fixed point results concerning measures of noncompactness.- 9 Renormings of l1 and c0 and fixed point properties.- 10 Nonexpansive mappings: boundary/inwardness conditions and local theory.- 11 Rotative mappings and mappings with constant displacement.- 12 Geometric properties related to fixed point theory in some Banach function lattices.- 13 Introduction to hyperconvex spaces.- 14 Fixed points of holomorphic mappings: a metric approach.- 15 Fixed point and non-linear ergodic theorems for semigroups of non-linear mappings.- 16 Generic aspects of metric fixed point theory.- 17 Metric environment of the topological fixed point theorems.- 18 Order-theoretic aspects of metric fixed point theory.- 19 Fixed point and related theorems for set-valued mappings.

Reviews

...a wide, up to date and complete presentation of the subject. ...the book appears uniform in style and in the organization of the chapters unncecessary repetitions are practically absent. The large number of authors certainly helped make it possible to treat all the topics presented with the scope and detail that only specialists in the specific subfields can guarantee. Each chapter begins with either a clear and complete exposition of the basic results in its subject area or with the necessary background to get to basic results, then it enters into more specialized results and ends with an exhaustive list of references. ...valuable and agreeable to a large group of mathematicians. For researchers ... a comprehensive reference ... useful for a broad knowledge and understanding of metric fixed point theory. ...editors have succeeded admirably in producing a handbook, not just a collection of papers...' Australian Mathematical Society GAZETTE, 29: 2 (2002)

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