#### Filter Results:

- Full text PDF available (31)

#### Publication Year

1999

2017

- This year (1)
- Last 5 years (12)
- Last 10 years (26)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

Let E be a real q-uniformly smooth Banach space with constant dq, q ≥ 2. Let T : E → E and G : E → E be a nonexpansive map and an η-strongly accretive map which is also κ-Lipschitzian, respectively. Let {λn} be a real sequence in 0, 1 that satisfies the following condition: C1: limλn 0 and ∑ λn ∞. For δ ∈ 0, qη/dqk 1/ q−1 and σ ∈ 0, 1 , define a sequence… (More)

- YA . I . ALBER, Charles E. Chidume, Habtu Zegeye
- 2006

The class of asymptotically nonexpansive maps was introduced by Goebel and Kirk [18] as a generalization of the class of nonexpansive maps. They proved that if K is a nonempty closed convex bounded subset of a real uniformly convex Banach space and T is an asymptotically nonexpansive self-mapping of K , then T has a fixed point. Alber and Guerre-Delabriere… (More)

Let K be a nonempty closed convex subset of a reflexive real Banach space E which has a uniformly Gâteaux differentiable norm. Assume that K is a sunny nonexpansive retract of E with Q as the sunny nonexpansive retraction. Let Ti : K → E, i = 1, . . . ,r, be a family of nonexpansive mappings which are weakly inward. Assume that every nonempty closed bounded… (More)

Let K be a nonempty closed convex subset of a real Banach space E and T be a Lipschitz pseudocontractive self-map of K with F (T ) := {x ∈ K : Tx = x} 6= ∅. An iterative sequence {xn} is constructed for which ||xn − Txn|| → 0 as n → ∞. If, in addition, K is assumed to be bounded, this conclusion still holds without the requirement that F (T ) 6= ∅.… (More)

- Charles E. Chidume, Eric Uwadiegwu Ofoedu
- Int. J. Math. Mathematical Sciences
- 2009

Let E be a real Banach space, and K a closed convex nonempty subset of E. Let T1, T2, . . . , Tm : K → K bem total asymptotically nonexpansive mappings. A simple iterative sequence {xn}n≥1 is constructed inE and necessary and sufficient conditions for this sequence to converge to a common fixed point of {Ti}i 1 are given. Furthermore, in the case that E is… (More)

Suppose X = Lp (or Ip), p > 2, and K is a nonempty closed convex bounded subset of X. Suppose T: K —* K is a Lipschitzian strictly pseudo-contractive mapping of K into itself. Let {Cn}^_0 be a real sequence satisfying: (i) 0 < C„ < 1 for all n > 1, (") Z)rT=l Cn = °°> and Then the iteration process, zn G K, Zn+l = (1 — Cn)xn + CnTXn for n > 1, converges… (More)

- Charles E. Chidume, C. O. Chidume, Ngalla Djitté, S. Minjibir
- 2014

and Applied Analysis 3 important, as has been observed by Bruck [18], mainly for the following two reasons. (i) Nonexpansive mappings are intimately connected with the monotonicity methods developed since the early 1960s and constitute one of the first classes of nonlinear mappings for which fixed point theorems were obtained by using the fine geometric… (More)

Let H be a real Hilbert space. Let F : D(F ) ⊆ H → H, K : D(K) ⊆ H → H be bounded monotone mappings with R(F ) ⊆ D(K), where D(F ) and D(K) are closed convex subsets of H satisfying certain conditions. Suppose the equation 0 = u + KFu has a solution in D(F ). Then explicit iterative methods are constructed that converge strongly to such a solution. No… (More)

- Charles E. Chidume, Mujahid Abbas, Bashir Ali
- Applied Mathematics and Computation
- 2007

- Charles E. Chidume, M. Khumalo, Habtu Zegeye
- Journal of Approximation Theory
- 2003