ON SELECTION ALGORITHM

Authors

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

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.

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Author Biography

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

Department of Mathematics

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Published

2018-11-01