HALPERN TYPE ITERATIONS FOR STRONGLY QUASI-NONEXPANSIVE SEQUENCES AND ITS APPLICATIONS

Hadi Khatibzadeh, Sajad Ranjbar · Taiwanese Journal of Mathematics · 2015

In this paper, we study the strong convergence of the Halpern type algorithms for a strongly quasi-nonexpansive sequence of operators. These results extend the results of Saejung [11]. Some applications in infinite family of firmly quasi-nonexpansive mappings, multiparameter proximal point algorithm, constraint minimization and subgradient projection are presented.

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