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Jolaoso, Lateef Olakunle,Mewomo, Oluwatosin Temitope Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.3
In this paper, we study some fixed point properties of n-generalized Bregman nonspreading mappings in reflexive Banach space. We introduce a hybrid iterative scheme for finding a common solution for a countable family of equilibrium problems and fixed point problems in reflexive Banach space. Further, we give some applications and numerical example to show the importance and demonstrate the performance of our algorithm. The results in this paper extend and generalize many related results in the literature.
Olawale Kazeem Oyewole,Lateef Olakunle Jolaoso,Kazeem Olalekan Aremu 경북대학교 자연과학대학 수학과 2024 Kyungpook mathematical journal Vol.64 No.1
In this paper, we introduce an inertial self-adaptive projection method using Bregman distance techniques for solving pseudomonotone equilibrium problems in reflexive Banach spaces. The algorithm requires only one projection onto the feasible set without any Lipschitz-like condition on the bifunction. Using this method, a strong convergence theorem is proved under some mild conditions. Furthermore, we include numerical experiments to illustrate the behaviour of the new algorithm with respect to the Bregman function and other algorithms in the literature