Let be a nonempty convex subset of a real Banach space
. Let
be a nearly weak uniformly
-Lipschitzian mapping. A modified Mann-type iteration scheme is proved to converge strongly to the unique fixed point of
. Our result is a significant improvement and generalization of several known results in this area of research. We give a specific example to support our result. Furthermore, an interesting equivalence of
-stability result between the convergence of modified Mann-type and modified Mann iterations is included.
Fixed points of nearly weak uniformly L-Lipschitzian mappings in real Banach spaces
Mogbademu, Adesanmi Alao
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Author(s) | Mogbademu, Adesanmi Alao |
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