Park, Sehie Continuous selection theorems in generalized convex spaces: Revisited. (English) Zbl 1244.54047 Nonlinear Anal. Forum 16, 21-33 (2011). It is exhibited that 15 selection theorems for multifunctions in various convex spaces that appeared after 1999 can be easily deduced from a former result by the author [Numer. Funct. Anal. Optimization 20, No. 5–6, 567–583 (1999; Zbl 0931.54017)] with slight modifications. Such selection theorems are applicable to fixed point theory of multifunctions. Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) Cited in 1 Document MSC: 54C65 Selections in general topology 47H04 Set-valued operators 47H10 Fixed-point theorems 46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) 46A55 Convex sets in topological linear spaces; Choquet theory 52A07 Convex sets in topological vector spaces (aspects of convex geometry) 54C60 Set-valued maps in general topology 54H25 Fixed-point and coincidence theorems (topological aspects) 55M20 Fixed points and coincidences in algebraic topology Keywords:multifunction; continuous selection; generalized convex space; fixed point Citations:Zbl 0931.54017 PDFBibTeX XMLCite \textit{S. Park}, Nonlinear Anal. Forum 16, 21--33 (2011; Zbl 1244.54047)