東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Fixed point theory in modular functi...

Khamsi, Mohamed A.

Linked to FindBook

Google Book

Amazon

博客來

Fixed point theory in modular function spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fixed point theory in modular function spaces/ by Mohamed A. Khamsi, Wojciech M. Kozlowski.
Author:	Khamsi, Mohamed A.
other author:	Kozlowski, Wojciech M.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	x, 245 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Fixed Point Theory in Metric Spaces: An Introduction -- Modular Function Spaces -- Geometry of Modular Function Spaces -- Fixed Point Existence Theorems in Modular Function Spaces -- Fixed Point Construction Processes -- Semigroups of Nonlinear Mappings in Modular Function Spaces -- Modular Metric Spaces.
Contained By:	Springer eBooks
Subject:	Fixed point theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-14051-3
ISBN:	9783319140513 (electronic bk.)

Fixed point theory in modular function spaces
Khamsi, Mohamed A.

Fixed point theory in modular function spaces[electronic resource] /by Mohamed A. Khamsi, Wojciech M. Kozlowski. - Cham :Springer International Publishing :2015. - x, 245 p. :ill., digital ;24 cm.

Introduction -- Fixed Point Theory in Metric Spaces: An Introduction -- Modular Function Spaces -- Geometry of Modular Function Spaces -- Fixed Point Existence Theorems in Modular Function Spaces -- Fixed Point Construction Processes -- Semigroups of Nonlinear Mappings in Modular Function Spaces -- Modular Metric Spaces.

This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.

ISBN: 9783319140513 (electronic bk.)

Standard No.: 10.1007/978-3-319-14051-3doiSubjects--Topical Terms:

546826
Fixed point theory.

LC Class. No.: QA329.9

Dewey Class. No.: 515.7248

Fixed point theory in modular function spaces
LDR:02595nmm a2200313 a 4500 001 1998076
003 DE-He213
005 20151029093042.0
006 m d
007 cr nn 008maaau
008 151112s2015 gw s 0 eng d
020 $a 9783319140513 (electronic bk.)
020 $a 9783319140506 (paper)
024 7 $a 10.1007/978-3-319-14051-3 $2 doi
035 $a 978-3-319-14051-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.7248 $2 23
090 $a QA329.9 $b .K45 2015
100 1 $a Khamsi, Mohamed A. $3 546824
245 1 0 $a Fixed point theory in modular function spaces $h [electronic resource] / $c by Mohamed A. Khamsi, Wojciech M. Kozlowski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2015.
300 $a x, 245 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Fixed Point Theory in Metric Spaces: An Introduction -- Modular Function Spaces -- Geometry of Modular Function Spaces -- Fixed Point Existence Theorems in Modular Function Spaces -- Fixed Point Construction Processes -- Semigroups of Nonlinear Mappings in Modular Function Spaces -- Modular Metric Spaces.
520 $a This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.
650 0 $a Fixed point theory. $3 546826
650 0 $a Modular functions. $3 576017
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Kozlowski, Wojciech M. $3 2139590
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-14051-3
950 $a Mathematics and Statistics (Springer-11649)