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Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces

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Listed:
  • C. E. Chidume
  • C. O. Chidume
  • N. Djitté
  • M. S. Minjibir

Abstract

Let K be a nonempty, closed, and convex subset of a real Hilbert space H. Suppose that T : K → 2K is a multivalued strictly pseudocontractive mapping such that F(T) ≠ ∅. A Krasnoselskii‐type iteration sequence {xn} is constructed and shown to be an approximate fixed point sequence of T; that is, limn→∞d(xn, Txn) = 0 holds. Convergence theorems are also proved under appropriate additional conditions.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:629468
DOI: 10.1155/2013/629468
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