Fixed Point Property for Finite Ordered Sets that Contain No Crowns with 6 or More Elements
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DOI: 10.1007/s11083-019-09498-z
Abstract: We prove that, for a finite ordered set P that contains no crowns with 6 or more elements, it can be determined in polynomial time if P has the fixed point property. This result is… read more here.
Keywords: finite ordered; point property; point; crowns elements ... See more keywords
A norm inequality in James’ space and stability of the fixed point property
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DOI: 10.1007/s11784-018-0640-4
Abstract: In this paper we prove a norm inequality in James’ space J, and use it to show that the fixed point property for nonexpansive mappings is passed on from J to those Banach spaces X… read more here.
Keywords: point property; james space; inequality james; point ... See more keywords
On Fixed Point Property under Lipschitz and Uniform Embeddings
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DOI: 10.1155/2018/4758546
Abstract: We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a… read more here.
Keywords: closed convex; point property; space; fixed point ... See more keywords
Amenable locally compact semigroups and a fixed point property
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DOI: 10.24193/fpt-ro.2018.1.01
Abstract: For a locally compact semigroup S, we study a general fixed point property in terms of Banach left S-modules. We then use this property to give our main result which is a new characterization for… read more here.
Keywords: compact semigroups; fixed point; point property; locally compact ... See more keywords