Near Vector Spaces and Related Topics

Hsien-Chung Wu

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English

CRC Press
25 September 2025

Functional analysis & transforms; Geometry; Topology; Computing: general; Computer science

Near Vector Spaces and Related Topics provides a systematic treatment of the introductory theory of near vector spaces, as well as a range of associated areas.

Since many topics in nonlinear analysis rely on the properties established in topological vector space, the concepts and topics presented in this book may stir up the interest of some researchers working in mathematical analysis, especially nonlinear analysis, and thus may potentially open a new avenue of research. The main prerequisites for most of the material in this book are basic concepts of functional analysis, including the basic tools of topology.

This book is accessible to senior undergraduate students in mathematics and may also be used as a graduate level text, or as a reference for researchers who work on the applications of nonlinear analysis.

Features

· Valuable resource for researchers and postgraduate students interested in the foundation of fuzzy sets and nonlinear analysis

· Presents new, previously unpublished material on near vector spaces

· Well-organized and comprehensive treatment of the subject.

By: Hsien-Chung Wu
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
ISBN: 9781041091257
ISBN 10: 1041091257
Pages: 774
Publication Date: 25 September 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming

Preface Ch 1 Near Vector Spaces Ch 2 Near Metric Spaces Ch 3 Near Normed Spaces Ch 4 Near Hilbert Spaces Ch 5 Hahn-Banach Extension Theorems Ch 6 Dual Spaces Ch 7 Topological Near Vector Spaces Ch 8 Near Fixed Point Bibliography Index

Hsien-Chung Wu is a Professor in the Department of Mathematics at the National Kaohsiung Normal University in Taiwan. He received his Ph.D from the University of Texas at Austin in USA. He is the sole author of more than 130 scientific papers published in international journals. He is an Associate Editor of Soft Computing, an Associate Editor of Fuzzy Optimization and Decision Making, and an Area Editor of International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. His current research includes the foundation of fuzzy sets and nonlinear analysis.