Othogonality and Fixed Points of Nonexpansive Maps

نویسنده

  • Brailey Sims
چکیده

The concept of weakorthogonality for a Banach lattice is examined. A proof that in such a lattice non expansive self maps of a non empty weakly compact convex set have fixed points is outlined. A geometric generalization of weakorthogonality is introduced and related to the Opial condition. AMS subject classification: 47H10

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تاریخ انتشار 2013