Faculty of Applied Sciences
Permanent URI for this communityhttp://ir-dev.dut.ac.za/handle/10321/5
Browse
Search Results
Item A new relaxed inertial Ishikawa-type algorithm for solving fixed points problems with applications to convex optimization problems(SCIK Publishing Corporation, 2024) Orim, R. E.; Ofem, A. E.; Maharaj, A.; Narain, O. K.In this research, we present a new relaxed intertial algorithm without viscosity for solving common solution of countable family of nonexpansive mappings in real Hilbert spaces. We obtain the strong convergence results of the proposed method under some wild conditions on the control parameters. Weapply our main results to solve convex bilevel optimization problems. Finally, we present a numerical example to illustrate the efficiency of our method over some existing methods in the literature.Item A new fixed point approximation method for solving third-order BVPs based on Green's function(SCIK Publishing Corporation, 2024) Orim, R. E.; Udo, M. O.; Maharaj, A.; Narain, O. K.This study presents an interesting method based on Picard-Ishikwa fixed point iterative method to solve nonlinear third-order boundary value problems. We develop a sequence called Picrad-Ishikawa Green’s iterative