4 resultados para minimal Hausdorff space


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The plots of the five Greek novels of "love and Adventures" are set in two differentent spaces. First, a macrospace, a gigantic stage which mainly includes Eastern cities of the Roman Empire, where the protagonists live the so-called adventures. And second, the microspaces, depicted in Longus' novel and occasionally in the other novels. The love ideology is clearly conservative, and it has a specific practical purpose among the Hellenized higher classes in the Eastern Empire.

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In this paper we introduce a new cost sharing rule-the minimal overlap cost sharing rule-which is associated with the minimal overlap rule for claims problems defined by O'Neill (1982). An axiomatic characterization is given by employing a unique axiom: demand separability. Variations of this axiom enable the serial cost sharing rule (Moulin and Shenker, 1992) and the rules of a family (Albizuri, 2010) that generalize the serial cost sharing rule to be characterized. Finally, a family that includes the minimal overlap cost sharing rule is defined and obtained by means of an axiomatic characterization.

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Coincidence and common fixed point theorems for a class of Suzuki hybrid contractions involving two pairs of single-valued and multivalued maps in a metric space are obtained. In addition, the existence of a common solution for a certain class of functional equations arising in a dynamic programming is also discussed.