On SP-iteration schemes for multi-valued mappings in CAT(0) spaces


	Open access
	On SP-iteration schemes for multi-valued mappings in CAT(0) spaces


	Fixed Point Theory, Volume 19, No. 2, 2018, 775-784, June 1st, 2018 DOI: 10.24193/fpt-ro.2018.2.57 Authors: Kritsana Sokhuma Abstract: In this paper, we extend known results on convergence of SP-iterations to fixed points of nonexpansive single-valued mappings to a multi-valued version. In order to do so, we prove strong convergence theorems for SP-iteration schemes involving quasi-nonexpansive multi-valued mappings in the framework of CAT(0) spaces. Key Words and Phrases: Multi-valued nonexpansive mappingsm SP-iteration process, strong convergence, CAT(0) spaces. 2010 Mathematics Subject Classification: 47H09, 47H10, 49M05. Published on-line: June 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents