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Fixed point theory in metric type spaces

Agarwal, Ravi P.

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 spacesby 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.
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:

206244
Fixed point theory.

LC Class. No.: QA329.9

Dewey Class. No.: 515.7248

Fixed point theory in metric type spaces
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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.
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