Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
Open Access
- 2 December 2009
- journal article
- research article
- Published by Springer Science and Business Media LLC in Fixed Point Theory and Applications
- Vol. 2010 (1), 367274
- https://doi.org/10.1155/2010/367274
Abstract
Suppose that "Equation missing" is a nonempty closed convex subset of a complete CAT(0) space "Equation missing" with the nearest point projection "Equation missing" from "Equation missing" onto "Equation missing". Let "Equation missing" be a nonexpansive nonself mapping with "Equation missing". Suppose that "Equation missing" is generated iteratively by "Equation missing", "Equation missing", "Equation missing", where "Equation missing" and "Equation missing" are real sequences in "Equation missing" for some "Equation missing". Then "Equation missing""Equation missing"-converges to some point "Equation missing" in "Equation missing". This is an analog of a result in Banach spaces of Shahzad (2005) and extends a result of Dhompongsa and Panyanak (2008) to the case of nonself mappings.Keywords
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