Strong convergence of a selection of ishikawa-reich-sabach-type algorithm

Autor:	Obiageli Isiogugu Felicia, Paranjothi Pillay, Osuo-Siseken Uzoma-Oguguo
Rok vydání:	2019
Předmět:	General Mathematics Convergence (routing) Applied mathematics Type (model theory) Selection (genetic algorithm) Mathematics
Zdroj:	Filomat. 33:1505-1516
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1906505i
Popis:	We establish the strong convergence of a selection of an Ishikawa-Reich-Sabach iteration scheme for approximating the common elements of the set of fixed points F(T) of a multi-valued (or singlevalued) 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 contribution to the study on the computability and applicability of algorithms for approximating the solutions of equilibrium problems for bifunctions involving the construction of the sequence {Kn}?n=1 of closed convex subsets of H from an arbitrary x0 ? H and the sequence {xn}?n=1 of the metric projections of x0 into Kn. The results obtained are contributions to the resolution of the controversy over the computability and applicability of such algorithms in the contemporary literature.
Databáze:	OpenAIRE
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