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Volume 32, Issue 1
Weak and Strong Convergence Theorems for Split Generalized Mixed Equilibrium Problem

Jingni Ye

Ann. Appl. Math., 32 (2016), pp. 54-68.

Published online: 2022-06

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  • Abstract

The purpose of this paper is to introduce a split generalized mixed equilibrium problem (SGMEP) and consider some iterative sequences to find a solution of the generalized mixed equilibrium problem such that its image under a given bounded linear operator is a solution of another generalized mixed equilibrium problem. We obtain some weak and strong convergence theorems.

  • Keywords

split generalized mixed equilibrium problem, weak convergence, strong convergence, fixed point.

  • AMS Subject Headings

47H10, 47H06, 47H17, 47J20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-54, author = {Ye , Jingni}, title = {Weak and Strong Convergence Theorems for Split Generalized Mixed Equilibrium Problem}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {1}, pages = {54--68}, abstract = {

The purpose of this paper is to introduce a split generalized mixed equilibrium problem (SGMEP) and consider some iterative sequences to find a solution of the generalized mixed equilibrium problem such that its image under a given bounded linear operator is a solution of another generalized mixed equilibrium problem. We obtain some weak and strong convergence theorems.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20628.html} }
TY - JOUR T1 - Weak and Strong Convergence Theorems for Split Generalized Mixed Equilibrium Problem AU - Ye , Jingni JO - Annals of Applied Mathematics VL - 1 SP - 54 EP - 68 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20628.html KW - split generalized mixed equilibrium problem, weak convergence, strong convergence, fixed point. AB -

The purpose of this paper is to introduce a split generalized mixed equilibrium problem (SGMEP) and consider some iterative sequences to find a solution of the generalized mixed equilibrium problem such that its image under a given bounded linear operator is a solution of another generalized mixed equilibrium problem. We obtain some weak and strong convergence theorems.

Jingni Ye. (2022). Weak and Strong Convergence Theorems for Split Generalized Mixed Equilibrium Problem. Annals of Applied Mathematics. 32 (1). 54-68. doi:
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