Abstract
Let C be a convex subset of a nuclear locally convex space that is also an -F-space. Suppose T:C → C is nonexpansive and {υn} is given by the Mann iteration process. It is shown that if {υn} is bounded, T has a fixed point. Also, a sequence {yn} can be constructed such that yn→y weakly where Ty = y. If C is a linear subspace and T is linear, then lim yn = y.
Original language | English |
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Pages (from-to) | 111-115 |
Number of pages | 5 |
Journal | Pacific Journal of Mathematics |
Volume | 79 |
Issue number | 1 |
DOIs | |
State | Published - Nov 1978 |
Externally published | Yes |