TY - JOUR
ID - 701674
TI - New Iteration Algorithms for Solving Equilibrium Problems and Fixed Point Problems of Two Finite Families of Asymptotically Demicontractive Multivalued Mappings
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Agwu, Imo Kalu
AU - Igbokwe, Donatus Ikechi
AD - Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State Nigeria.
AD - Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia, Abia State Nigeria.
Y1 - 2023
PY - 2023
VL - 20
IS - 2
SP - 1
EP - 38
KW - strong convergence
KW - Variational inequality
KW - Asymptotically nonexpansive mapping
KW - Horizontal algorithm
KW - Common fixed point
KW - Banach space
DO - 10.22130/scma.2022.531263.939
N2 - ln this paper, we introduce a new class of mapping called asymptotically demicontractive multivalued mapping in the setting of a real Hilbert space. Furthermore, a new iteration scheme was constructed, and it was proved that our algorithm converges strongly to the common element of solutions of an equilibrium problem and the set of common fixed points of two finite families of type-one asymptotically demicontractive multivalued mappings without any sum conditions imposed on the finite family of the control sequences. Also, we provided a numerical example to demonstratethe implementablity of our proposed iteration technique. Our results improve, extend and generalize many recently announced results in the current
UR - https://scma.maragheh.ac.ir/article_701674.html
L1 - https://scma.maragheh.ac.ir/article_701674_9bd96014cdf397b43152f82b0b5338f1.pdf
ER -