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Banach fixed-point theorem
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1	Electronic Journal of Differential Equations, Monograph 09, 2009, (90 pages). ISSN: URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu ftp ejde.math.txstate.edu (login: ftp) THE CONTRACTION MAPPING Add to Reading List Source URL: ejde.math.unt.edu Language: English - Date: 2016-04-22 14:45:19 Mathematics Mathematical analysis Geometry Metric geometry Banach space Complete metric space Metric space Banach fixed-point theorem Normed vector space Vector space Contraction mapping Hilbert space
2	Downloaded By: [Siltanen, S.] At: 08:12 23 AprilCommunications in Partial Differential Equations, 32: 591–610, 2007 Copyright © Taylor & Francis Group, LLC ISSNprintonline DOI: Add to Reading List Source URL: www.siltanen-research.net Language: English - Date: 2016-05-04 10:21:23 Equation solving Equations Unification Mathematics Robot control Special functions Abstraction Creativity Banach fixed-point theorem
3	LIPSCHITZ SLICES AND THE DAUGAVET EQUATION FOR LIPSCHITZ OPERATORS VLADIMIR KADETS, MIGUEL MARTÍN, JAVIER MERÍ, AND DIRK WERNER Abstract. We introduce a substitute for the concept of slice for the case of non-linear Li Add to Reading List Source URL: page.mi.fu-berlin.de Language: English - Date: 2014-09-25 04:10:11 Mathematics Mathematical analysis Analysis Lipschitz continuity Banach space Compact operator Continuous function Metric geometry Topology Modulus of continuity Banach fixed-point theorem
4	A proof of the Markov-Kakutani fixed point theorem via the Hahn-Banach theorem Dirk Werner S. Kakutani, in [2] and [3], provides a proof of the Hahn-Banach theorem Add to Reading List Source URL: page.mi.fu-berlin.de Language: English - Date: 2012-11-07 06:37:38 Fixed-point theorems MarkovKakutani fixed-point theorem HahnBanach theorem Kakutani fixed-point theorem Locally convex topological vector space Convex set Schauder fixed point theorem Fixed-point theorems in infinite-dimensional spaces
5	COLORING THE RATIONALS IN REVERSE MATHEMATICS EMANUELE FRITTAION AND LUDOVIC PATEY Abstract. Ramsey’s theorem for pairs asserts that every 2-coloring of the pairs of integers has an infinite monochromatic subset. In th Add to Reading List Source URL: www.math.tohoku.ac.jp Language: English - Date: 2016-02-20 21:08:40 Logic in computer science Differential forms Combinatory logic Lambda calculus Peano axioms Closed and exact differential forms Banach fixed-point theorem Peetre theorem
6	Effective rates of convergence for Lipschitzian pseudocontractive mappings in general Banach spaces∗ Daniel K¨ornlein and Ulrich Kohlenbach† Department of Mathematics Technische Universit¨at Darmstadt Schlossgarten Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2011-05-19 10:28:59 Mathematics Geometry Metric geometry Space Fixed-point theorems Banach fixed-point theorem Topology Lipschitz continuity Fixed-point iteration Contraction mapping
7	A quantitative version of a theorem due to Borwein-Reich-Shafrir Ulrich Kohlenbach BRICS∗ Department of Computer Science University of Aarhus Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 09:11:27 Mathematics Circuit complexity NC Banach fixed-point theorem Auxiliary function Differential forms on a Riemann surface
8	On the computational content of the Krasnoselski and Ishikawa fixed point theorems Ulrich Kohlenbach BRICS⋆ Department of Computer Science, University of Aarhus, Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2012-11-16 09:11:48 Fixed-point theorems Metric geometry Topology Banach space Banach fixed-point theorem Contraction mapping Compact space Schauder fixed point theorem Metric space Lipschitz continuity Browder fixed point theorem ArzelAscoli theorem
9	RAMSEY’S THEOREM FOR SINGLETONS AND STRONG COMPUTABLE REDUCIBILITY DAMIR D. DZHAFAROV, LUDOVIC PATEY, REED SOLOMON, AND LINDA BROWN WESTRICK Abstract. We answer a question posed by Hirschfeldt and Jockusch by showing Add to Reading List Source URL: ludovicpatey.com Language: English - Date: 2016-05-31 11:43:35 Mathematics Mathematical analysis Differential forms Constructible universe Closed and exact differential forms Computability theory Combinatory logic Ordinal number Differential forms on a Riemann surface Banach fixed-point theorem
10	On the computational content of convergence proofs via Banach limits U. Kohlenbach1∗, L. Leu¸stean2 1 Department of Mathematics, Technische Universit¨ Add to Reading List Source URL: www.mathematik.tu-darmstadt.de Language: English - Date: 2011-09-19 11:38:22 Mathematics Mathematical analysis Topology Banach spaces Convex analysis Calculus Modulus and characteristic of convexity Continuous function Banach fixed-point theorem Uniformly smooth space Metric space Open set

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