TY - JOUR
T1 - FR-type algorithm for finding approximate solutions to nonlinear monotone operator equations
AU - Abubakar, Auwal Bala
AU - Muangchoo, Kanikar
AU - Ibrahim, Abdulkarim Hassan
AU - Abubakar, Jamilu
AU - Rano, Sadiya Ali
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/8
Y1 - 2021/8
N2 - This paper focuses on the problem of convex constraint nonlinear equations involving monotone operators in Euclidean space. A Fletcher and Reeves type derivative-free conjugate gradient method is proposed. The proposed method is designed to ensure the descent property of the search direction at each iteration. Furthermore, the convergence of the proposed method is proved under the assumption that the underlying operator is monotone and Lipschitz continuous. The numerical results show that the method is efficient for the given test problems.
AB - This paper focuses on the problem of convex constraint nonlinear equations involving monotone operators in Euclidean space. A Fletcher and Reeves type derivative-free conjugate gradient method is proposed. The proposed method is designed to ensure the descent property of the search direction at each iteration. Furthermore, the convergence of the proposed method is proved under the assumption that the underlying operator is monotone and Lipschitz continuous. The numerical results show that the method is efficient for the given test problems.
UR - http://www.scopus.com/inward/record.url?scp=85101068688&partnerID=8YFLogxK
U2 - 10.1007/s40065-021-00313-5
DO - 10.1007/s40065-021-00313-5
M3 - Article
AN - SCOPUS:85101068688
SN - 2193-5343
VL - 10
SP - 261
EP - 270
JO - Arabian Journal of Mathematics
JF - Arabian Journal of Mathematics
IS - 2
ER -