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

Joint Authors

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

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-16

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chidume, Charles E.& Chidume, C. O.& Djitté, N.& Minjibir, M. S.. 2013. Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486486

Modern Language Association (MLA)

Chidume, Charles E.…[et al.]. Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-486486

American Medical Association (AMA)

Chidume, Charles E.& Chidume, C. O.& Djitté, N.& Minjibir, M. S.. Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-486486

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486486