Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Mohammad Taghi Heydari, Sajad Ranjbar
2016 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of the operator.
doi:10.1515/auom-2016-0052 fatcat:o5mttghidjgs5lbczdhgp2cyaq