Auxiliary problem and algorithm for a generalized mixed equilibrium problem
Khan, S. (2015). Auxiliary problem and algorithm for a generalized mixed equilibrium problem. EKB Journal Management System, 23(1), 155-160. doi: 10.1016/j.joems.2014.03.003
Suhel Ahmad Khan. "Auxiliary problem and algorithm for a generalized mixed equilibrium problem". EKB Journal Management System, 23, 1, 2015, 155-160. doi: 10.1016/j.joems.2014.03.003
Khan, S. (2015). 'Auxiliary problem and algorithm for a generalized mixed equilibrium problem', EKB Journal Management System, 23(1), pp. 155-160. doi: 10.1016/j.joems.2014.03.003
Khan, S. Auxiliary problem and algorithm for a generalized mixed equilibrium problem. EKB Journal Management System, 2015; 23(1): 155-160. doi: 10.1016/j.joems.2014.03.003

Auxiliary problem and algorithm for a generalized mixed equilibrium problem

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Page 155-160  XML PDF (438.21 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.03.003
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Author
Suhel Ahmad Khan*
Department of Mathematics, BITS-Pilani, Dubai Campus, Dubai 345055, United Arab Emirates
Abstract
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.
Keywords
Generalized mixed equilibrium problems; Lipschitz continuous; Strongly monotone; Simultaneous hemicontinuous mapping
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