TY - JOUR
T1 - A parallel viscosity extragradient method for solving a system of pseudomonotone equilibrium problems and fixed point problems in Hadamard spaces
AU - Aremu, Kazeem Olalekan
AU - Jolaoso, Lateef Olakunle
AU - Aphane, Maggie
AU - Oyewole, Olawale Kazeem
N1 - Funding Information:
The authors acknowledge with thanks, the Department of Mathematics and Applied Mathematics at the Sefako Makgatho Health Sciences University for making their facilities available for the research. O.K. Oyewole acknowledges with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary.
Funding Information:
L.O. Jolaoso is supported by the Postdoctoral research grant from the Sefako Makgatho Health Sciences University, South Africa.
Publisher Copyright:
© 2021, Università degli Studi di Napoli "Federico II".
PY - 2021
Y1 - 2021
N2 - In this work, we study a parallel viscosity extragradient method for approximating a common solution of a finite system of pseudomonotone equilibrium problems and common fixed point problem for nonexpansive mappings in Hadamard spaces. We propose an iterative method and prove its strong convergence to an element in the intersection of the solution set of finite system of equilibrium problems and the fixed points set of nonexpansive mappings. Furthermore, we give an example in a Hadamard space which is not an Hilbert space to support the convergence theorem in the paper. This result generalizes and extends recent results in the literature.
AB - In this work, we study a parallel viscosity extragradient method for approximating a common solution of a finite system of pseudomonotone equilibrium problems and common fixed point problem for nonexpansive mappings in Hadamard spaces. We propose an iterative method and prove its strong convergence to an element in the intersection of the solution set of finite system of equilibrium problems and the fixed points set of nonexpansive mappings. Furthermore, we give an example in a Hadamard space which is not an Hilbert space to support the convergence theorem in the paper. This result generalizes and extends recent results in the literature.
KW - Common fixed point
KW - Equilibrium problems
KW - Extragradient method
KW - Hadamard spaces
KW - Pseudomontone
UR - http://www.scopus.com/inward/record.url?scp=85114100116&partnerID=8YFLogxK
U2 - 10.1007/s11587-021-00640-x
DO - 10.1007/s11587-021-00640-x
M3 - Article
AN - SCOPUS:85114100116
SN - 0035-5038
JO - Ricerche di Matematica
JF - Ricerche di Matematica
ER -