Abstract
This paper is concerned with the problem of nonlinear best simultaneous approximations in conditional complete lattice Banach spaces with a strong unit. Characterization results of the best simultaneous approximation from simultaneous suns and suns are established. A counterexample, to which the characterization theorem for convex sets due to Mohebi ({\em Numer. Funct. Anal. Optim.}, {\bf 25} (2004), 685-705) fails, is provided and a corrected version of the theorem is presented.
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