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

C. E. Chidume, C. O. Chidume, N. Djitté and M. S. Minjibir

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/629468

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:629468

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