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| WEAK AND STRONG CONVERGENCE THEOREMS FOR SPLIT GENERALIZED MIXED EQUILIBRIUM PROBLEM |
| Jingni Ye |
| (Zhicheng College, Fuzhou University, Fujian 350002, PR China) |
| DOI： |
| Abstract: |
| 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. |
| Key words: split generalized mixed equilibrium problem; weak convergence; strong convergence; fixed point |