Variational Analysis and Gener...
Variational Analysis and Generalized Differentiation I Basic Theory
Variational analysis is a fruitful area in mathematics that, on the one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variationa...
Mordukhovich, Boris S.
Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
1st ed. 2006
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
Global Analysis And Analysis On Manifolds
Calculus Of Variations And Optimal Control; Optimization
Applications Of Mathematics
Global Analysis
https://doi.org/10.1007/3-540-31247-1?nosfx=y
Variational analysis is a fruitful area in mathematics that, on the one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. One of the most characteristic features of modern variational analysis is the intrinsic presence of nonsmoothness, which enters naturally not only through initial data of optimization-related problems but largely via variational principles and perturbation techniques. Thus generalized differential lies at the heart of variational analysis and its applications. This monograph in two volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite dimensional spaces and presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first of volume is mainly devoted to the basic theory of variational analysis and generalized differentiations, while the second volume contains various applications. Both volumes contain abundant bibliographies and extensive commentaries. This book will be of interest to researchers and graduate students in mathematical sciences. It may also be useful to a broad range of researchers, practitioners, and graduate students involved in the study and applications of variational methods in economics, engineering, control systems, operations research, statistics, mechanics, and other applied sciences
XXII, 579 p online resource
Variational Analysis and Generalized Differentiation II Applications
by: Mordukhovich, Boris S.
Variational Analysis and Applications
Optimization with PDE Constraints
by: Hinze, Michael, et al.
Variational Analysis and Generalized Differentiation in Optimization and Control In Honor of Boris S. Mordukhovich
Variational Analysis of Regular Mappings Theory and Applications
by: Ioffe, Alexander D.