|
|||||
|
|
A minimax theorem for functions with possibly nonconnected intersections of sublevel sets |
|
| Authors: | Du&scaron an Repov&scaron ,Pavel V. Semenov |
| Affiliation: | a Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Jadranska 19, PO Box 2964, Ljubljana 1001, Slovenia b Department of Mathematics, Moscow City Pedagogical University, 2nd Selskokhozyastvennyi pr. 4, Moscow 129226, Russia |
| Abstract: | We apply the selection theorem for multivalued mappings with paraconvex values (rather than various versions of KKM-principle) to prove several minimax theorems. In contrast with well-known minimax theorems for coordinatewise semicontinuous functions, in our theorems finite intersections of sublevel or uplevel sets can be nonempty and nonconnected. |
| Keywords: | Paraconvexity Convex-valued mapping Continuous selection Banach space Lower semicontinuous and upper semicontinuous map |
| 本文献已被 ScienceDirect 等数据库收录！ | |