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Charles E. Chidume
Researcher at African Institute of Science and Technology
Publications - 155
Citations - 3925
Charles E. Chidume is an academic researcher from African Institute of Science and Technology. The author has contributed to research in topics: Banach space & Fixed point. The author has an hindex of 33, co-authored 153 publications receiving 3639 citations. Previous affiliations of Charles E. Chidume include International Centre for Theoretical Physics & University of the Sciences.
Papers
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Book
Geometric Properties of Banach Spaces and Nonlinear Iterations
TL;DR: In this article, the authors present a convergence algorithm for generalized F-accretive self-maps and pseudo-contractive Mappings, and show that it converges with respect to the modulus of smoothness.
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An example on the Mann iteration method for Lipschitz pseudocontractions
TL;DR: An example of a Lipschitz pseudocontractive map with a unique fixed point for which the Mann iteration sequence fails to converge is given in this paper, which resolves a long standing open problem.
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Strong and weak convergence theorems for asymptotically nonexpansive mappings
TL;DR: In this paper, a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a non-empty retraction is considered, and it is proved that (I−T) is demiclosed at 0.
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Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings
TL;DR: In this article, the authors consider the problem of a Lipschitzian strictly pseudo-contractive mapping of a nonempty closed convex bounded subset of a graph into itself.
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Iterative approximation of fixed points of nonexpansive mappings
Charles E. Chidume,C.O. Chidume +1 more
TL;DR: In this article, a nonempty closed convex subset of a real Banach space E has a uniformly Gâteaux differentiable norm and T:K→K is a nonexpansive mapping with F(T):={x∈K:Tx=x}≠∅.