Techniques of Variational Analysis

Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. He received his Doctorate from Oxford in 1974 and has been on faculty at Waterloo, Carnegie Mellon and Simon Fraser Universities. He has published extensively in optimization, analysis and computational mathematics and has received various prizes both for research and for exposition. Qiji J. Zhu is a Professor in the Department of Mathematics at Western Michigan University. He received his doctorate at Northeastern University in 1992. He has been a Research Associate at University of Montreal, Simon Fraser University and University of Victoria, Canada.

• and Notation.- Variational Principles.- Variational Techniques in Subdifferential Theory.- Variational Techniques in Convex Analysis.- Variational Techniques and Multifunctions.- Variational Principles in Nonlinear Functional Analysis.- Variational Techniques In the Presence of Symmetry.

From the reviews: "This book maps the progress that has been made since the publication of the Ekeland variational principle in 1974 in the development and application of the variational approach in nonlinear analysis. The authors are well equipped for their task. ... This monograph is distinctive for bringing out the unifying role of variational principles across nonlinear analysis, the numerous examples of their application, and for the insights communicated by the authors, drawing on their experience as key participants in their development." (Richard B. Vinter, Mathematical Reviews, Issue 2006 h) "The book presents a nice treatment of known variational principles and their application in many fields of mathematics. ... Many exercises are provided at the end of all sections where the reader can reflect the main text and can get further generalizations of the results." (Jorg Thierfelder, Zentralblatt MATH, Vol. 1076, 2006) "The aim of the book is to emphasize the strength of the variational techniques in various domains ... . The book contains a lot of exercises completing the main text ... . the book is directed to graduate students in the field of variational analysis. ... Researchers who use variational techniques or intend to do so, will find the book very useful too." (S. Cobzas, Studia Universitatis Babes-Bolyai Mathematica, Vol. LI (2), June, 2006)