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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.

Ye , Jingni. (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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