東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Fixed point theory in metric type spaces

Agarwal, Ravi P.

FindBook

Google Book

Amazon

博客來

Fixed point theory in metric type spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fixed point theory in metric type spaces/ by Ravi P. Agarwal ... [et al.].
其他作者:	Agarwal, Ravi P.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	xvii, 385 p. :ill., digital ;24 cm.
內容註:	Introduction with a Brief Historical Survey -- Preliminaries -- G-Metric Spaces -- Basic Fixed Point Results in the Setting of G-Metric Spaces -- Fixed Point Theorems in Partially Ordered G-Metric Spaces -- Further Fixed Point Results on G-Metric Spaces -- Fixed Point Theorems via Admissible Mappings -- New Approaches to Fixed Point Results on G-Metric Spaces -- Expansive Mappings -- Reconstruction of G-Metrics: G*-Metrics -- Multidimensional Fixed Point Theorems on G-Metric Spaces -- Recent Motivating Fixed Point Theory.
Contained By:	Springer eBooks
標題:	Fixed point theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-24082-4
ISBN:	9783319240824$q(electronic bk.)

Fixed point theory in metric type spaces
Fixed point theory in metric type spaces[electronic resource] /by Ravi P. Agarwal ... [et al.]. - Cham :Springer International Publishing :2015. - xvii, 385 p. :ill., digital ;24 cm.

Introduction with a Brief Historical Survey -- Preliminaries -- G-Metric Spaces -- Basic Fixed Point Results in the Setting of G-Metric Spaces -- Fixed Point Theorems in Partially Ordered G-Metric Spaces -- Further Fixed Point Results on G-Metric Spaces -- Fixed Point Theorems via Admissible Mappings -- New Approaches to Fixed Point Results on G-Metric Spaces -- Expansive Mappings -- Reconstruction of G-Metrics: G*-Metrics -- Multidimensional Fixed Point Theorems on G-Metric Spaces -- Recent Motivating Fixed Point Theory.

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

ISBN: 9783319240824$q(electronic bk.)

Standard No.: 10.1007/978-3-319-24082-4doiSubjects--Topical Terms:

546826
Fixed point theory.

LC Class. No.: QA329.9

Dewey Class. No.: 515.7248

Fixed point theory in metric type spaces
LDR:02687nmm a2200325 a 4500 001 2016682
003 DE-He213
005 20160530154746.0
006 m d
007 cr nn 008maaau
008 160613s2015 gw s 0 eng d
020 $a 9783319240824$q(electronic bk.)
020 $a 9783319240800$q(paper)
024 7 $a 10.1007/978-3-319-24082-4 $2 doi
035 $a 978-3-319-24082-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.9
072 7 $a PBKS $2 bicssc
072 7 $a MAT021000 $2 bisacsh
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 515.7248 $2 23
090 $a QA329.9 $b .F566 2015
245 0 0 $a Fixed point theory in metric type spaces $h [electronic resource] / $c by Ravi P. Agarwal ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xvii, 385 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction with a Brief Historical Survey -- Preliminaries -- G-Metric Spaces -- Basic Fixed Point Results in the Setting of G-Metric Spaces -- Fixed Point Theorems in Partially Ordered G-Metric Spaces -- Further Fixed Point Results on G-Metric Spaces -- Fixed Point Theorems via Admissible Mappings -- New Approaches to Fixed Point Results on G-Metric Spaces -- Expansive Mappings -- Reconstruction of G-Metrics: G*-Metrics -- Multidimensional Fixed Point Theorems on G-Metric Spaces -- Recent Motivating Fixed Point Theory.
520 $a Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
650 0 $a Fixed point theory. $3 546826
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Agarwal, Ravi P. $3 672910
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-24082-4
950 $a Mathematics and Statistics (Springer-11649)