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Fixed Point Theory in Distance Spaces
Kirk, William; Shahzad, Naseer
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Description for Fixed Point Theory in Distance Spaces
Paperback. Num Pages: 184 pages, biography. BIC Classification: PBMP; PBP; PBWH. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 10. Weight in Grams: 297.
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’s well known set-valued extension of that theorem, the extension of Banach’s theorem to nonexpansive mappings, and Caristi’s theorem. These comparisons form ... Read more
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’s well known set-valued extension of that theorem, the extension of Banach’s theorem to nonexpansive mappings, and Caristi’s theorem. These comparisons form ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
184
Condition
New
Number of Pages
173
Place of Publication
Cham, Switzerland
ISBN
9783319364056
SKU
V9783319364056
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Kirk, William; Shahzad, Naseer
W. A. Kirk(1) Naseer Shahzad(2) (1) Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, USA E-mail address: william-kirk@uiowa.edu (2) Department of Mathematics, King Abdulaziz University, PO.Box 80203, Jeddah 21589, Saudi Arabia E-mail address: nshahzad@kau.edu.sa
Reviews for Fixed Point Theory in Distance Spaces
“The authors of this interesting monograph are concerned with purely metric aspects of fixed point theory. … this book can serve not only as a timely introduction to metric fixed point theory, but also as a catalyst for further research in this fertile area.” (Simeon Reich, Mathematical Reviews, October, 2015) “The book is clearly written and contains a very ... Read more