TY - JOUR
ID - 6365
TI - A convergence theorem for a common solution of $f$-fixed point, variational inequality and generalized mixed equilibrium problems in Banach spaces
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Zegeye, Solomon Bekele
AU - Zegeye, Habtu
AU - Sangago, Mengistu Goa
AU - Boikanyo, Oganeditse A.
AD - Department of Mathematics, Faculty of Science, University of Botswana, Pvt Bag 00704, Gaborone, Botswana
AD - Department of Mathematics and Statistical Sciences, Faculty of Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana
Y1 - 2022
PY - 2022
VL - 13
IS - 2
SP - 1069
EP - 1087
KW - Generalized mixed equilibrium problem
KW - Variational inequality problem
KW - $f$-pseudocontractive mapping
KW - monotone mapping
KW - reflexive Banach spaces
DO - 10.22075/ijnaa.2022.25363.2995
N2 - The purpose of this paper is to construct an algorithm for approximating a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, the set of $f$-fixed points of a finite family of $f$-pseudocontractive mappings, and the set of solutions of a finite family of variational inequality problems for Lipschitz monotone mappings in real reflexive Banach spaces.
UR - https://ijnaa.semnan.ac.ir/article_6365.html
L1 - https://ijnaa.semnan.ac.ir/article_6365_c9ada71b4d9c7c1fa7560dbdfbeb3ed4.pdf
ER -