TY - JOUR T1 - Weak and Strong Convergence Theorems for Split Generalized Mixed Equilibrium Problem AU - Ye , Jingni JO - Annals of Applied Mathematics VL - 1 SP - 54 EP - 68 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20628.html KW - split generalized mixed equilibrium problem, weak convergence, strong convergence, fixed point. AB -

The purpose of this paper is to introduce a split generalized mixed equilibrium problem (SGMEP) and consider some iterative sequences to find a solution of the generalized mixed equilibrium problem such that its image under a given bounded linear operator is a solution of another generalized mixed equilibrium problem. We obtain some weak and strong convergence theorems.