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Handbook of Topological Fixed Point Theory
. Ed(S): Brown, Robert F.; Furi, Massimo; Gorniewicz, Lech; Jiang, Boju
€ 187.77
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Description for Handbook of Topological Fixed Point Theory
Hardback. Useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. This book is also of interest to mathematical economists, population dynamics experts, as well as theoretical physicists exploring the topological dynamics. Editor(s): Brown, Robert F.; Furi, Massimo; Gorniewicz, Lech; Jiang, Boju. Num Pages: 972 pages, biography. BIC Classification: PBKJ; PBPD. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 46. Weight in Grams: 1541.
Fixed point theory concerns itself with a very simple, and basic, mathematical setting. For a functionf that has a setX as bothdomain and range, a ?xed point off isa pointx ofX for whichf(x)=x. Two fundamental theorems concerning ?xed points are those of Banach and of Brouwer. In Banach's theorem, X is a complete metric space with metricd andf:X?X is required to be a contraction, that is, there must existL< 1 such thatd(f(x),f(y))?Ld(x,y) for allx,y?X. Theconclusion is thatf has a ?xed point, in fact exactly one of them. Brouwer'stheorem requiresX to betheclosed unit ball in a Euclidean space and f:X?X to ... Read more
Fixed point theory concerns itself with a very simple, and basic, mathematical setting. For a functionf that has a setX as bothdomain and range, a ?xed point off isa pointx ofX for whichf(x)=x. Two fundamental theorems concerning ?xed points are those of Banach and of Brouwer. In Banach's theorem, X is a complete metric space with metricd andf:X?X is required to be a contraction, that is, there must existL< 1 such thatd(f(x),f(y))?Ld(x,y) for allx,y?X. Theconclusion is thatf has a ?xed point, in fact exactly one of them. Brouwer'stheorem requiresX to betheclosed unit ball in a Euclidean space and f:X?X to ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Springer-Verlag New York Inc. United States
Number of pages
972
Condition
New
Number of Pages
972
Place of Publication
New York, NY, United States
ISBN
9781402032219
SKU
V9781402032219
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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