Cofinally Complete Metric Spaces And Related Functions - Couverture rigide

Kundu, Subiman; Aggarwal, Manisha; Gupta, Lipsy

Couverture rigide

ISBN 10 : 9811272654 ISBN 13 : 9789811272653

Editeur : WSPC, 2023

Synopsis

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.

A propos du livre

À propos de l?auteur

In 1989, Subiman Kundu completed his PhD on function spaces at Virginia Tech., USA under the supervision of Prof. Robert A McCoy. For more than three decades, he served at Department of Mathematics, Indian Institute of Technology Delhi, India. Recently, he has retired as a professor of Mathematics from the same department. In addition to research, he enjoyed teaching pretty much. At present, he is engaged in writing several books.

Manisha Aggarwal completed her PhD in Mathematics at Indian Institute of Technology Delhi, India in 2016 under the supervision of Prof. Subiman Kundu. Since then, she has been teaching at St. Stephen's College, University of Delhi, India. Her research interest is analysis on metric spaces. Her passion for teaching and research, along with the guidance of her PhD supervisor, has motivated her to write textbooks for undergraduates and postgraduates in collaboration with him.

Lipsy Gupta is a Post-Doctoral Fellow in University of Missouri Columbia, USA, working on Differential Privacy. She completed her PhD in July 2021 from Department of Mathematics, Indian Institute of Technology Delhi, India under the supervision of Prof. Subiman Kundu in the area of analysis on metric spaces.

Détails de l'édition

• Éditeur: WSPC
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 9811272654
• ISBN 13: 9789811272653
• Reliure: Relié
• Nombre de pages: 150
• Coordonnées du fabricant: non disponible
• Personne responsable: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Allemagne