Papers by Tamara Benavides
Abstract and Applied …, 2003
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies... more Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the nonstrict Opial condition. Let C be a bounded closed convex subset of X, KC(C) the family of all compact convex subsets of C, and T a nonexpansive mapping from C into KC(C). We prove that T has a fixed point. The nonstrict Opial condition can be removed if, in addition, T is a 1-χcontractive mapping.
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Papers by Tamara Benavides