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Volume 33, Issue 1
Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings

Jinliang Shen & Jianhua Huang

Ann. Appl. Math., 33 (2017), pp. 18-31.

Published online: 2022-06

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  • Abstract

In this paper, weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers.

  • Keywords

generalized equilibrium problem, a finite family of asymptotically nonexpansive mapping, hybrid iteration method, inverse-strongly monotone mapping, Hilbert space.

  • AMS Subject Headings

47H10, 47H06, 47H17

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-18, author = {Shen , Jinliang and Huang , Jianhua}, title = {Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {1}, pages = {18--31}, abstract = {

In this paper, weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20592.html} }
TY - JOUR T1 - Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings AU - Shen , Jinliang AU - Huang , Jianhua JO - Annals of Applied Mathematics VL - 1 SP - 18 EP - 31 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20592.html KW - generalized equilibrium problem, a finite family of asymptotically nonexpansive mapping, hybrid iteration method, inverse-strongly monotone mapping, Hilbert space. AB -

In this paper, weak and strong convergence theorems are established by hybrid iteration method for generalized equilibrium problem and fixed point problems of a finite family of asymptotically nonexpansive mappings in Hilbert spaces. The results presented in this paper partly extend and improve the corresponding results of the previous papers.

Jinliang Shen & Jianhua Huang. (2022). Hybrid Iteration Method for Generalized Equilibrium Problems and Fixed Point Problems of a Finite Family of Asymptotically Nonexpansive Mappings. Annals of Applied Mathematics. 33 (1). 18-31. doi:
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