On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators

  • S. Rolewicz

    Polish Academy of Sciences, Warszawa, Poland
  • Song Wen

    Harbin Normal University, China

Abstract

Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators generated by a set-valued function , where and are Orlicz-Musielak -spaces are presented.

Cite this article

S. Rolewicz, Song Wen, On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators. Z. Anal. Anwend. 13 (1994), no. 4, pp. 739–748

DOI 10.4171/ZAA/480