TY - JOUR A2 - Hussain, Aftab 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 ς n 我 n = 1 ∞ 我 = 1 N , the condition that ∑ 我 = 1 N ς n 我 = 1 , for each n ≥ 1 。此外,在适当的反对ditions, 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 -