@article{1446409,
      recid = {1446409},
      author = {Mordukhovich, B. Sh. and Nguyen, Mau Nam,},
      title = {Convex analysis and beyond., Volume I,: Basic theory /},
      pages = {1 online resource (1 volume) :},
      abstract = {This book presents a unified theory of convex functions,  sets, and set-valued mappings in topological vector spaces  with its specifications to locally convex, Banach and  finite-dimensional settings. These developments and  expositions are based on the powerful geometric approach of  variational analysis, which resides on set extremality with  its characterizations and specifications in the presence of  convexity. Using this approach, the text consolidates the  device of fundamental facts of generalized differential  calculus to obtain novel results for convex sets,  functions, and set-valued mappings in finite and infinite  dimensions. It also explores topics beyond convexity using  the fundamental machinery of convex analysis to develop  nonconvex generalized differentiation and its applications.  The text utilizes an adaptable framework designed with  researchers as well as multiple levels of students in mind.  It includes many exercises and figures suited to graduate  classes in mathematical sciences that are also accessible  to advanced students in economics, engineering, and other  applications. In addition, it includes chapters on convex  analysis and optimization in finite-dimensional spaces that  will be useful to upper undergraduate students, whereas the  work as a whole provides an ample resource to  mathematicians and applied scientists, particularly experts  in convex and variational analysis, optimization, and their  applications.},
      url = {http://library.usi.edu/record/1446409},
      doi = {https://doi.org/10.1007/978-3-030-94785-9},
}