Fixed Point Theorems for Decomposable Multi-Valued Maps and Applications
Radu PrecupUniversity of Cluj-Napoca, Romania
We present fixed point theorems for weakly sequentially upper semicontinuous decomposable non--convex-valued maps. They are based on an extension of the Arino-Gautier-Penot Fixed Point Theorem for weakly sequentially upper semicontinuous maps with convex values. Applications are given to abstract operator inclusions in Lp spaces. An example is included to illustrate the theory.
Cite this article
Radu Precup, Fixed Point Theorems for Decomposable Multi-Valued Maps and Applications. Z. Anal. Anwend. 22 (2003), no. 4, pp. 843–861DOI 10.4171/ZAA/1176