en عمومى General پژوهشي Research paper <p style="text-align: justify;">A hybrid conjugate gradient (CG) method is proposed for solving unconstrained optimization problems. The direction of the method is a combination of a three-term conjugate descent (CD) and Fletcher-Reeves (FR) CG directions. &nbsp;Also, it is close to the direction of the memoryless Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. In addition, under the Wolfe-type line search, the global convergence of the method is established. &nbsp;Numerical experiments are conducted on some benchmark test problems and the results are reported to show &nbsp;the efficiency of the propose method compared with some existing methods.</p> Unconstrained optimization, Gonjugate gradient method, Global convergence. 67 84 http://ijmsi.ir/browse.php?a_code=A-10-6776-1&slc_lang=en&sid=1 Jitsupa Deepho jitsupa.d@sciee.kmutnb.ac.th 100319475328460012025 100319475328460012025 No Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok, 19 Moo 11, Nonglalok, Bankhai, Rayong 21120 Thailand Auwal Bala Abubakar ababubakar.mth@buk.edu.ng 100319475328460012026 100319475328460012026 Yes Numerical optimization research group, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria Maulana Malik m.malik@sci.ui.ac.id 100319475328460012027 100319475328460012027 No Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok 16424, Indonesia Abdulkarim Hassan Ibrahim ibrahimkarym@gmail.com 100319475328460012028 100319475328460012028 No KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand Aliyu Ibrahim Kiri sssaly2014@gmail.com 100319475328460012029 100319475328460012029 No Numerical optimization research group, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria