Solutions of system of split mixed equilibrium and fixed points problems

In this paper, we introduce a new iterative method for a system of split mixed equilibrium problems and an infinite family of demimetric mappings in a real Hilbert space. Then, we establish that the sequence generated by our proposed algorithm converges strongly to a common element in the solutions set of a system of split mixed equilibrium problems and the common fixed points set of an infinite family of demimetric mappings. Our results improve and generalize some well-known recent results in the literature.

کلیدواژه ها:

Split problem ، equilibrium problem ، fixed points ، Demimetric mapping ، strong convergence