TY - JOUR
T1 - A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems
AU - Zegeye, Solomon Bekele
AU - Sangago, Mengistu Goa
AU - Zegeye, Habtu
N1 - Funding Information:
All authors have received research grants from Simons Foundation based at BIUST. The first author was also supported by the International Science Program(ISP)- Sweden, based at AAU.
Funding Information:
This study was funded by Simons Foundation funded project based at Botswana International University of Science and Technology (BIUST), Palapye, Botswana (Grant no: ID267269FY17) and by the International Science Program(ISP)-Sweden, based at the Department of Mathematics, Addis Ababa University (AAU), Ethiopia.
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to The Forum D’Analystes.
PY - 2021/10/2
Y1 - 2021/10/2
N2 - It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of continuous asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense, and the set of zeros of a finite family of γ-inverse strongly monotone mappings in uniformly convex and uniformly smooth real Banach space. Our results improve and unify most of the results that have been proved for this important class of nonlinear mappings.
AB - It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of continuous asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense, and the set of zeros of a finite family of γ-inverse strongly monotone mappings in uniformly convex and uniformly smooth real Banach space. Our results improve and unify most of the results that have been proved for this important class of nonlinear mappings.
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U2 - 10.1007/s41478-021-00359-w
DO - 10.1007/s41478-021-00359-w
M3 - Article
AN - SCOPUS:85116239246
SN - 0971-3611
VL - 30
SP - 569
EP - 595
JO - Journal of Analysis
JF - Journal of Analysis
IS - 2
ER -