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100   $a20010718d2001      uy         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFixed point theory and applications /$fRavi P. Agarwal, Maria Meehan, Donal O'Regan
205   $a1st ed.
210   $aCambridge, UK ;$aNew York, N.Y., USA $cCambridge University Press$d2001
215   $a1 online resource (x, 170 pages) $cdigital, PDF file(s)
225 1 $aCambridge tracts in mathematics ;$v141
300   $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
311   $a0-521-10419-X 
311   $a0-521-80250-4 
320   $aIncludes bibliographical references (p. 159-167) and index.
327   $tContractions --$tNonexpansive maps --$tContinuation methods for contractive and nonexpansive mappings --$tTheorems of brouwer, schauder and mo?nch --$tNonlinear alternatives of leray-schauder type --$tContinuation principles for condensing maps --$tFixed point theorems in conical shells --$tFixed point theory in hausdorff locally convex linear topological spaces --$tContractive and nonexpansive multivalued maps --$tMultivalued maps with continuous selections --$tMultivalued maps with closed graph --$tDegree theory.
330   $aThis book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type. 
410  0$aCambridge tracts in mathematics ;$v141.
606   $aFixed point theory
606   $aMappings (Mathematics)
615  0$aFixed point theory.
615  0$aMappings (Mathematics)
676   $a515/.7248
700   $aAgarwal$b Ravi P$041786
701   $aMeehan$b Maria$0147498
701   $aO'Regan$b Donal$0621718
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807826703321
996   $aFixed point theory and applications$94196650
997   $aUNINA