Cofinally Complete Metric Spaces And Related Functions
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A01=Lipsy Gupta
A01=Manisha Aggarwal
A01=Subiman Kundu
Author_Lipsy Gupta
Author_Manisha Aggarwal
Author_Subiman Kundu
Category=PBKB
Cauchy-Regular Functions
Cauchy-Subregular Functions
Cofinally Bourbaki-Complete Metric Spaces
Cofinally Complete Metric Spaces
Continuous Functions
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Function Space Topologies
Hyperspace
Lipschitz-Type Functions
UC Spaces
Product details
- ISBN 9789811272653
- Publication Date: 12 May 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
