Fixed points of nearly weak uniformly L-Lipschitzian mappings in real Banach spaces
Adesanmi Alao Mogbademu · Creative Mathematics and Informatics · 2018
Let K be a nonempty convex subset of a real Banach space X. Let T be a nearly weak uniformly L-Lipschitzian mapping. A modified Mann-type iteration scheme is proved to converge strongly to the unique fixed point of T. 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 T-stability result between the convergence of modified Mann-type and modified Mann iterations is included.