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, 1-10

Abstract:

Let be a nonempty, closed, and convex subset of a real Hilbert space . Suppose that is a multivalued strictly pseudocontractive mapping such that . A Krasnoselskii-type iteration sequence is constructed and shown to be an approximate fixed point sequence of ; that is, holds. Convergence theorems are also proved under appropriate additional conditions.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:629468

DOI: 10.1155/2013/629468

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