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 -