(unusual date and room) Numerical Analysis in Metric Spaces

Series
Applied and Computational Mathematics Seminar
Time
Wednesday, October 14, 2015 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 270
Speaker
Vira Babenko – The University of Utah – babenko@math.utah.eduhttp://www.math.utah.edu/~babenko/
Organizer
Sung Ha Kang
A wide variety of questions which range from social and economic sciences to physical and biological sciences lead to functions with values that are sets in finite or infinite dimensional spaces, or that are fuzzy sets. Set-valued and fuzzy-valued functions attract attention of a lot of researchers and allow them to look at numerous problems from a new point of view and provide them with new tools, ideas and results. In this talk we consider a generalized concept of such functions, that of functions with values in so-called L-space, that encompasses set-valued and fuzzy functions as special cases and allow to investigate them from the common point of view. We will discus several problems of Approximation Theory and Numerical Analysis for functions with values in L-spaces. In particular numerical methods of solution of Fredholm and Volterra integral equations for such functions will be presented.