## Abstract

In this work, we study a parallel viscosity extragradient method for approximating a common solution of a finite system of pseudomonotone equilibrium problems and common fixed point problem for nonexpansive mappings in Hadamard spaces. We propose an iterative method and prove its strong convergence to an element in the intersection of the solution set of finite system of equilibrium problems and the fixed points set of nonexpansive mappings. Furthermore, we give an example in a Hadamard space which is not an Hilbert space to support the convergence theorem in the paper. This result generalizes and extends recent results in the literature.

Original language | English |
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Pages (from-to) | 819-840 |

Number of pages | 22 |

Journal | Ricerche di Matematica |

Volume | 73 |

Issue number | 2 |

DOIs | |

Publication status | Published - Apr 2024 |

## Keywords

- 47J25
- 65J15
- 65K15
- 90C33
- Common fixed point
- Equilibrium problems
- Extragradient method
- Hadamard spaces
- Pseudomontone