|
Books > Science & Mathematics > Mathematics > Applied mathematics
|
Buy Now
Metric Structures and Fixed Point Theory (Hardcover)
Loot Price: R4,929
Discovery Miles 49 290
|
|
|
Metric Structures and Fixed Point Theory (Hardcover)
Expected to ship within 10 - 15 working days
|
It is an indisputable argument that the formulation of metrics (by
Frechet in the early 1900s) opened a new subject in mathematics
called non-linear analysis after the appearance of Banach's fixed
point theorem. Because the underlying space of this theorem is a
metric space, the theory that developed following its publication
is known as metric fixed point theory. It is well known that metric
fixed point theory provides essential tools for solving problems
arising in various branches of mathematics and other sciences such
as split feasibility problems, variational inequality problems,
non-linear optimization problems, equilibrium problems, selection
and matching problems, and problems of proving the existence of
solutions of integral and differential equations are closely
related to fixed point theory. For this reason, many people over
the past seventy years have tried to generalize the definition of
metric space and corresponding fixed point theory. This trend still
continues. A few questions lying at the heart of the theory remain
open and there are many unanswered questions regarding the limits
to which the theory may be extended. Metric Structures and Fixed
Point Theory provides an extensive understanding and the latest
updates on the subject. The book not only shows diversified aspects
of popular generalizations of metric spaces such as symmetric,
b-metric, w-distance, G-metric, modular metric, probabilistic
metric, fuzzy metric, graphical metric and corresponding fixed
point theory but also motivates work on existing open problems on
the subject. Each of the nine chapters-contributed by various
authors-contains an Introduction section which summarizes the
material needed to read the chapter independently of the others and
contains the necessary background, several examples, and
comprehensive literature to comprehend the concepts presented
therein. This is helpful for those who want to pursue their
research career in metric fixed point theory and its related areas.
Features Explores the latest research and developments in fixed
point theory on the most popular generalizations of metric spaces
Description of various generalizations of metric spaces Very new
topics on fixed point theory in graphical and modular metric spaces
Enriched with examples and open problems This book serves as a
reference for scientific investigators who need to analyze a simple
and direct presentation of the fundamentals of the theory of metric
fixed points. It may also be used as a text book for postgraduate
and research students who are trying to derive future research
scope in this area.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
