On Computability and Applicability of Mann-Reich-Sabach-Type Algorithms for Approximating the Solutions of Equilibrium Problems in Hilbert Spaces
Joint Authors
Isiogugu, F. O.
Pillay, P.
Nwokoro, P. U.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We establish the existence of a strong convergent selection of a modified Mann-Reich-Sabach iteration scheme for approximating the common elements of the set of fixed points F(T) of a multivalued (or single-valued) k-strictly pseudocontractive-type mapping T and the set of solutions EP(F) of an equilibrium problem for a bifunction F in a real Hilbert space H.
This work is a continuation of the study on the computability and applicability of algorithms for approximating the solutions of equilibrium problems for bifunctions involving the construction of a sequence {Kn}n=1∞ of closed convex subsets of H from an arbitrary x0∈H and a sequence {xn}n=1∞ of the metric projections of x0 into Kn.
The obtained result is a partial resolution of the controversy over the computability of such algorithms in the contemporary literature.
American Psychological Association (APA)
Isiogugu, F. O.& Pillay, P.& Nwokoro, P. U.. 2018. On Computability and Applicability of Mann-Reich-Sabach-Type Algorithms for Approximating the Solutions of Equilibrium Problems in Hilbert Spaces. Abstract and Applied Analysis،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1114293
Modern Language Association (MLA)
Isiogugu, F. O.…[et al.]. On Computability and Applicability of Mann-Reich-Sabach-Type Algorithms for Approximating the Solutions of Equilibrium Problems in Hilbert Spaces. Abstract and Applied Analysis No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1114293
American Medical Association (AMA)
Isiogugu, F. O.& Pillay, P.& Nwokoro, P. U.. On Computability and Applicability of Mann-Reich-Sabach-Type Algorithms for Approximating the Solutions of Equilibrium Problems in Hilbert Spaces. Abstract and Applied Analysis. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1114293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1114293