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Fixed point theory and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fixed point theory and applications // Ravi P. Agarwal, Maria Meehan, Donal O'Regan.
其他題名:	Fixed Point Theory & Applications
作者:	Agarwal, Ravi P.,
其他作者:	O'Regan, Donal,
面頁冊數:	1 online resource (x, 170 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Mappings (Mathematics) -
電子資源:	https://doi.org/10.1017/CBO9780511543005
ISBN:	9780511543005 (ebook)

Fixed point theory and applications /
Agarwal, Ravi P.,

Fixed point theory and applications /Fixed Point Theory & ApplicationsRavi P. Agarwal, Maria Meehan, Donal O'Regan. - 1 online resource (x, 170 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;141. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Contractions --

This 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.

ISBN: 9780511543005 (ebook)Subjects--Topical Terms:

768488
Mappings (Mathematics)

LC Class. No.: QA329.9 / .A337 2001

Dewey Class. No.: 514

Fixed point theory and applications /
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490 1 $a Cambridge tracts in mathematics ; $v 141
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $t Contractions -- $t Nonexpansive maps -- $t Continuation methods for contractive and nonexpansive mappings -- $t Theorems of brouwer, schauder and mönch -- $t Nonlinear alternatives of leray-schauder type -- $t Continuation principles for condensing maps -- $t Fixed point theorems in conical shells -- $t Fixed point theory in hausdorff locally convex linear topological spaces -- $t Contractive and nonexpansive multivalued maps -- $t Multivalued maps with continuous selections -- $t Multivalued maps with closed graph -- $t Degree theory.
520 $a This 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.
650 0 $a Mappings (Mathematics) $3 768488
650 0 $a Fixed point theory. $3 528441
700 1 $a O'Regan, Donal, $e author. $3 1444554
700 1 $a Meehan, Maria, $e author. $3 1444553
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830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511543005