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Global optimal solutions of noncyclic mappings in metric spaces. (English) Zbl 1262.90134
In the case that the fixed point equation has no solution, the best approximate solution is of interest. The authors prove the existence of such a globally optimal solution for noncyclic mappings in metric spaces, and apply this result for the solution of related problems in the theory of analytic functions.
##### MSC:
 90C26 Nonconvex programming, global optimization 90C48 Programming in abstract spaces
##### References:
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