In this paper, we consider generalized mixed equilibrium problem and its auxiliary problem in Hilbert space. Further, we establish an existence and uniqueness theorem for the auxiliary problem. Furthermore, using this theorem we construct an algorithm for generalized mixed equilibrium problem and discuss the convergence analysis of the algorithm and existence of solution of generalized mixed equilibrium problem.
Khan, S. A. (2015). Auxiliary problem and algorithm for a generalized mixed equilibrium problem. Journal of the Egyptian Mathematical Society, 23(1), 155-160. doi: 10.1016/j.joems.2014.03.003
MLA
Suhel Ahmad Khan. "Auxiliary problem and algorithm for a generalized mixed equilibrium problem", Journal of the Egyptian Mathematical Society, 23, 1, 2015, 155-160. doi: 10.1016/j.joems.2014.03.003
HARVARD
Khan, S. A. (2015). 'Auxiliary problem and algorithm for a generalized mixed equilibrium problem', Journal of the Egyptian Mathematical Society, 23(1), pp. 155-160. doi: 10.1016/j.joems.2014.03.003
VANCOUVER
Khan, S. A. Auxiliary problem and algorithm for a generalized mixed equilibrium problem. Journal of the Egyptian Mathematical Society, 2015; 23(1): 155-160. doi: 10.1016/j.joems.2014.03.003
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