The homotopic invariance for fixed points of set-valued mappings in Banach spaces

Bancha Panyanak
2013 International Journal of Mathematical Analysis  
We obtain the homotopic invariance for fixed points of set-valued contractions and nonexpansive mappings whose domain is a bounded nonexpansive retract and nonempty interior subset of a uniformly convex Banach space. This gives a partial answer to a problem posed by Sims, Xu and Yuan (2001) .
doi:10.12988/ijma.2013.35118 fatcat:qahtxudwhze3xlwipucr3e6bme