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 ( Numer. Funct. Anal. Optim., 25 (2004), 685-705) fails, is provided and a corrected version of the theorem is presented.
Citation
Donghui Fang Fang. Chong Li. Xianfa Luo. "NONLINEAR SIMULTANEOUS APPROXIMATION IN COMPLETE LATTICE BANACH SPACES." Taiwanese J. Math. 12 (9) 2373 - 2385, 2008. https://doi.org/10.11650/twjm/1500405185
Information
