TY - JOUR
T1 - ON PSEUDOMONOTONE EQUILIBRIUM AND FIXED POINT PROBLEMS IN HADAMARD SPACES WITH APPLICATIONS
AU - Maluleka, Rose
AU - Ugwunnadi, Godwin C.
AU - Okeke, Christian C.
AU - Aphane, Maggie
N1 - Publisher Copyright:
© 2024 Journal of Nonlinear Functional Analysis.
PY - 2024
Y1 - 2024
N2 - In this paper, we introduce a hybrid extragradient method for approximating a common solution of a finite family of equilibrium problems associated with pseudomonotone bifunctions and a fixed point problem of a generalized demimetric mapping. Under suitable conditions, we prove a strong convergence theorem in Hadamard spaces. Finally, in order to further support our main results, we provide a numerical experiment and an example of a pseudomonotone bifunction in Hadamard spaces.
AB - In this paper, we introduce a hybrid extragradient method for approximating a common solution of a finite family of equilibrium problems associated with pseudomonotone bifunctions and a fixed point problem of a generalized demimetric mapping. Under suitable conditions, we prove a strong convergence theorem in Hadamard spaces. Finally, in order to further support our main results, we provide a numerical experiment and an example of a pseudomonotone bifunction in Hadamard spaces.
KW - CAT(0) space
KW - D-convergence
KW - Extragradient method
KW - Generalized Demimetric mapping
KW - Pseudomonotone equilibrium problem
UR - http://www.scopus.com/inward/record.url?scp=85192385061&partnerID=8YFLogxK
U2 - 10.23952/jnfa.2024.7
DO - 10.23952/jnfa.2024.7
M3 - Article
AN - SCOPUS:85192385061
SN - 2052-532X
VL - 2024
JO - Journal of Nonlinear Functional Analysis
JF - Journal of Nonlinear Functional Analysis
M1 - 7
ER -