TY - JOUR
ID - 7899
TI - Solutions of system of split mixed equilibrium and fixed points problems
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Karahan, Ibrahim
AU - Ugwunnadi, Godwin Chidi
AD - Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, 25700, Türkiye
AD - Department of Mathematics, University of Eswatini, Private Bag, Kwaluseni, Eswatini
Y1 - 2023
PY - 2023
VL - 14
IS - 9
SP - 1
EP - 15
KW - Split problem
KW - equilibrium problem
KW - fixed points
KW - Demimetric mapping
KW - strong convergence
DO - 10.22075/ijnaa.2023.28038.3786
N2 - In this paper, we introduce a new iterative method for a system of split mixed equilibrium problems and an infinite family of demimetric mappings in a real Hilbert space. Then, we establish that the sequence generated by our proposed algorithm converges strongly to a common element in the solutions set of a system of split mixed equilibrium problems and the common fixed points set of an infinite family of demimetric mappings. Our results improve and generalize some well-known recent results in the literature.
UR - https://ijnaa.semnan.ac.ir/article_7899.html
L1 - https://ijnaa.semnan.ac.ir/article_7899_95c5c360c6589a071a7345de52c2cae8.pdf
ER -