A viscosity approximation method for nonself operators and equilibrium problems in Hilbert spaces

Cho, Sun Young¹

¹ Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea

Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5780-5789.

Résumé

Viscosity approximate methods have recently received much attention due to the applications in convex optimization problems. In this paper, we study a viscosity iterative algorithm with computational errors. Strong convergence theorems of solutions are established in the framework of Hilbert spaces. The main results presented in this paper improve the corresponding results announced recently.

Détail

DOI : 10.22436/jnsa.009.11.07

Classification : 47H06, 90C33
Keywords: Gradient projection method, monotone operator, normal cone, optimization, projection.

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