<p>In this paper we apply the subgradient algorithm in order to solve an optimization problem on the solution set of a common fixed point problem with a countable family of mappings. It is shown that our algorithm generates iterates which converge to the set of minimizers.</p>

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Optimization on Solution Sets of Common Fixed Point Problems with a Countable Family of Maps

  • Alexander J. Zaslavski

摘要

In this paper we apply the subgradient algorithm in order to solve an optimization problem on the solution set of a common fixed point problem with a countable family of mappings. It is shown that our algorithm generates iterates which converge to the set of minimizers.