Mönch type results for maps with weakly sequentially closed graphs. (English) Zbl 1335.47037
In this paper, a fixed point theorem for multi-valued weakly sequentially closed graph maps in metrizable locally convex linear topological spaces is given. Then, a homotopy result (in terms of essential mappings) for the same type of multi-valued mappings is also proved.
Reviewer: Gabriela Petruşel (Cluj-Napoca)
MSC:
47H10 | Fixed-point theorems |
47H04 | Set-valued operators |
54H25 | Fixed-point and coincidence theorems (topological aspects) |