TY - JOUR
AU - Isiogugu, F. O.
AU - Izuchukwu, C.
AU - Okeke, C. C.
PY - 2020
DA - 2020/05/01
TI - New Iteration Scheme for Approximating a Common Fixed Point of a Finite Family of Mappings
SP - 3287968
VL - 2020
AB - We introduce a new algorithm (horizontal algorithm) in a real Hilbert space, for approximating a common fixed point of a finite family of mappings, without imposing on the finite family of the control sequences ςnin=1∞i=1N, the condition that ∑i=1Nςni=1, for each n≥1. Furthermore, under appropriate conditions, the horizontal algorithm converges both weakly and strongly to a common fixed point of a finite family of type-one demicontractive mappings. It is also applied to obtain some new algorithms for approximating a common solution of an equilibrium problem and the fixed point problem for a finite family of mappings. Our work is a contribution to ongoing research on iteration schemes for approximating a common solution of fixed point problems of a finite family of mappings and equilibrium problems.
SN - 2314-4629
UR - https://doi.org/10.1155/2020/3287968
DO - 10.1155/2020/3287968
JF - Journal of Mathematics
PB - Hindawi
KW -
ER -