Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space

Abstract

Let E be a real Banach space. Let K be a nonempty closed and convex subset of E, T

Some Results for a Finite Family of Uniformly -Lipschitzian Mappings in Banach Spaces

“…Our results not only correct some mistakes appeared in [4] but also extend and improve some recent results in [2][3][4][5][6][7].…”

“…Theorem 1.5 (Ofoedu [4]). Let E be a real Banach space, let K be a nonempty closed convex subset of E, and let T :…”

“…(2) The method given in the proof of Theorem 2.2 is quite different from the method given in Ofoedu [4]. …”

The Convergence Theorems for Common Fixed Points of Uniformly L-Lipschitzian Asymptotically Φ-Pseudocontractive Mappings

“…Conversely, it is not true. The convergence of Mann-type and Ishikawa-type iteration processes for uniformly L-Lipschitzian and asymptotically Φ-pseudocontractive mappings in Banach spaces have been studied extensively by many authors, see for example [1,2,3,6].…”

“…Recently, Ofoedu [3] gave iterative approximation problem of fixed points for uniformly L-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces. The results are as following.…”