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Authors: ALEXANDRU ROŞOIU, DRAGOŞ FRĂŢILĂ.
and 
for all 
and let X0 = {p1, p2, p3} be a subset of X. An isometric map of X0 into 
can be extended to X with an increase in the Lipschitz constant of at least 
this constant being attained for the function that takes e to the circumcenter of the triangle formed by the points f(pi), for all 
The purpose of this article is to show that we can loosen somewhat the conditions imposed on d, namely we show that considering a metric space X = {e, p1, p2, p3} such that 
for all distinct 
the above increase in the Lipschitz constant for the extended Lipschitz function is preserved. 