A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces

Raeisi, M.; Eskandani, G. Zamani

doi:10.1007/s10092-019-0341-4

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Cited by 8 publications

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“…Recently many researchers have studied approximation of solutions of an equilibrium problem (see, e.g. [6], [9], [10], [15], [16], [18] and references therein). Equilibrium problems with monotone and pseudo-monotone bifunctions have been studied extensively in Hilbert, Banach as well as in topological vector spaces by many c 2020 Miskolc University Press authors (e.g.…”

Section: Introductionmentioning

confidence: 99%

Approximation solutions of quasi-equilibrium problems in Banach spaces

Mohammadi¹,

Eskandani²

2020

MMN

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In this paper, we study to approximate solutions of quasi-equilibrium problems in Banach spaces, which generalizes equilibrium problems and quasi-variational inequalities. In fact, we prove weak convergence of the sequence generated by the proximal point method to a solution of the quasi-equilibrium problem. Then we show that the generated sequence converges strongly to a solution of the quasi-equilibrium problem.

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