@article{962673,
      author = {Tammer, Christiane. and Weidner, Petra.},
      url = {http://library.usi.edu/record/962673},
      title = {Scalarization and separation by translation invariant  functions : with applications in optimization, nonlinear  functional analysis, and mathematical economics /},
      publisher = {Springer,},
      abstract = {Like norms, translation invariant functions are a natural  and powerful tool for the separation of sets and  scalarization. This book provides an extensive foundation  for their application. It presents in a unified way new  results as well as results which are scattered throughout  the literature. The functions are defined on linear spaces  and can be applied to nonconvex problems. Fundamental  theorems for the function class are proved, with  implications for arbitrary extended real-valued functions.  The scope of applications is illustrated by chapters  related to vector optimization, set-valued optimization,  and optimization under uncertainty, by fundamental  statements in nonlinear functional analysis and by examples  from mathematical finance as well as from consumer and  production theory. The book is written for students and  researchers in mathematics and mathematical economics.  Engineers and researchers from other disciplines can  benefit from the applications, for example from  scalarization methods for multiobjective optimization and  optimal control problems.},
      doi = {https://doi.org/10.1007/978-3-030-44723-6},
      recid = {962673},
      pages = {1 online resource},
      address = {Cham :},
      year = {2020},
}