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