Fixed-point theorems for multivalued non-expansive mappings without uniform convexity

[摘要] LetXbe a Banach space whose characteristic of noncompact convexityis less than1and satisfies the nonstrict Opial condition. LetCbe a bounded closed convex subset ofX,KC(C)the family of allcompact convex subsets ofC, andTa nonexpansive mapping fromCintoKC(C). We prove thatThas a fixed point. The nonstrict Opial condition can be removed if, in addition,Tis a1-χ-contractive mapping.

[学科分类] 数学（综合）