Name: Cofinally Complete Metric Spaces and Related Functions
SKU: 56796543
Price: 1632.00 ZAR
Availability: InStock
Author: Kundu, Subiman ; Aggarwal, Manisha ; Gupta, Lipsy
ISBN: 9789811272653

portada Cofinally Complete Metric Spaces and Related Functions

Cofinally Complete Metric Spaces and Related Functions

Type

Physical Book

Author

Subiman Kundu

Manisha Aggarwal

Lipsy Gupta

Publisher

World Scientific Publishing Company

Language

English

Pages

152

Format

Hardcover

Dimensions

22.9x15.2x1 cm

Weight

0.37 kg.

ISBN13

9789811272653

Synopsis "Cofinally Complete Metric Spaces and Related Functions"

The monograph targets a huge variety of characterizations of cofinally complete metric spaces. These spaces are studied in terms of several properties of some classes of functions between metric spaces that are stronger than the continuous functions such as Cauchy-regular, uniformly continuous, strongly uniformly continuous, and various Lipschitz-type functions. There is one chapter that is dedicated to studying cofinally complete metric spaces in terms of hyperspace and function space topologies. Along with that, various characterizations are studied in terms of geometric functionals, sequences, Cantor-type conditions, etc. The study of such spaces is interesting as well as it has nice connections with various other branches of mathematics such as convex analysis, optimization theory, fixed point theory, functional analysis and approximation theory. But until now, there has been no textbook or research monograph which presents the entire theory of these spaces in a comprehensive way. The study of the aforesaid spaces and their variants is still a vibrant area of research, and many prominent researchers are working in this area.The book is targeted at researchers as well as graduate students interested in real functions, analysis on metric spaces, topology, and the aforementioned. Since the monograph often discusses various properties of Lipschitz-type functions, it would be of interest to people interested in PDEs as well.