ON SELECTION ALGORITHM

Main Article Content

F. O. Isiogugu

Abstract

COMMUNICATION IN PHYSICAL SCIENCES 3(1):1-9


Received 14 November 2017/Accepted 13 July 2018


Author: F.O. Isiogugu


Strong convergence of an iteration scheme for approximating the common elements of the set of solutions EP(F) of an equilibrium problem for a bifunction F and the set of fixed points F(T) of a multi-valued(or single-valued) hemicontractive mapping T is established in a real Hilbert space H. This work contributes to the study on the applicability and computability of iteration schemes for bifunctions involving the construction of the sequence{Kn}n=1 of closed convex subsets of H from an arbitrary xo ∈ H and the sequence {xn}n=1 of the metric projections of xo into Kn. The results obtained extend and improve many results in this direction in the contemporary literature.

Downloads

Download data is not yet available.

Article Details

Section
Articles
Author Biography

F. O. Isiogugu, University of Nigeria, Nsukka, Nigeria

Department of Mathematics