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Volume 2, Issue 3, 31 December 2020, Pages 329-337
Abstract. We propose an algorithm for approximating a solution of a quasiconvex, para-monotone equilibrium problem, which is also a fixed point of a nonexpansive operator. The proposed algorithm is a combination between the projection one with the research direction being the normal subgradient of the quasiconvex bifunction for the equilibrium problem and the Krasnoselskii-Man iterative scheme for the fixed point one. Convergence of the algorithm is analyzed and some special models of the problem are presented.
How to Cite this Article:
Le Hai Yen, Le Dung Muu, A normal-subgradient algorithm for fixed point problems and quasiconvex equilibrium problems, Appl. Set-Valued Anal. Optim. 2 (2020), 329-337.