A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature



	A Halpern type iteration with multiple anchor points in complete geodesic spaces with negative curvature


	Fixed Point Theory, Volume 21, No. 2, 2020, 631-646, July 1st, 2020 DOI: 10.24193/fpt-ro.2020.2.44 Authors: Yasunori Kimura and Kazuya Sasaki Abstract: In this paper, we define a new convex combination on a geodesic space with negative curvature, and show that an iterative sequence generated by using that convex combination converges to a common fixed point of mappings minimizing the specific function of that space. Key Words and Phrases: Fixed point, approximation, geodesic space. 2010 Mathematics Subject Classification: 47H09, 47H10. Published on-line: July 1st, 2020. Abstract pdf Fulltext pdf Back to volume's table of contents