نشریه علوم ریاضی و انفورماتیک

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Mohammadi M, Zamani Eskandani G. Approximation Methods for Solving Quasi-equilibrium Problems in Hadamard Spaces. IJMSI 2025; 20 (2) :139-154
URL: http://ijmsi.ir/article-1-2050-fa.html

In this paper, we consider quasi-eqilibrium problems which extend equilibrium problems and quasi-variational inequalities as well as variational inequalities in Hadamard spaces. We study ∆-convergence of the sequence generated by the extragradient method to a solution of a quasi-equilibrium problem in Hadamard spaces. Then we show strong convergence of the generated sequence to a solution of the problem by imposing some additional conditions. We also use the Halpern regularization method to prove strong convergence of the generated sequence to a solution of the quasi-equilibrium problem where the equilibrium point is the projection of an arbitrary point u onto the solution set of the problem.