@article {LaPa2005,
 author="S. Lajara and A.J. Pallar\'es",
 title={A nonlinear map for midpoint locally uniformly rotund renorming},
 journal="Bull. Austral. Math. Soc.",
 fjournal={Bulletin of the Australian Mathematical Society},
 volume="72",
 year="2005",
 number="1",
 pages="39--44",
 issn="0004-9727",
 coden="ALNBAB",
 language="English",
 date="7th February, 2005",
 classmath=" 46B20, 54E99,54H05",
 publisher={AMPAI, Australian Mathematical Society},
 MRnumber="MR2162292",
 ZBLnumber="02212184",
 url="http://www.austms.org.au/Publ/Bulletin/V72P1/721-5030-LaPa/index.shtml",
 acknowledgement={Research supported by MCYT BFM 2002-01719 and CARM S\'eneca 00690-PI-04},
 abstract={ We provide a criterion for midpoint locally uniformly rotund renormability of normed spaces involving the class of $\sigma $-slicely continuous maps, recently introduced by Molt\'o, Orihuela, Troyanski and Valdiva in 2003. As a consequence of this result, we obtain a theorem of G. Alexandrov concerning the three space problem for midpoint locally uniformly rotund renormings of Banach spaces. }
}